1. Readkit 2 6 3 Equals Many
2. Readkit 2 6 3 Equals Inches

Some things to watch in the second weekend of Big 12 play Saturday, when all five games have a team that won its conference opener playing a team that lost its league opener:

GAME OF THE WEEK

Step-by-Step Solutions. Use step-by-step calculators for chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. Gain more understanding of your homework with steps and hints guiding you from problems to answers! 15 grams equals 1/2 oz. 25 grams equals 1 oz. 40 grams equals 1 1/2 oz. 55 grams equals 2 oz. 70 grams equals 2 1/2 oz. 85 grams equals 3 oz. 100 grams equals 3 1/2 oz. 115 grams equals 4 oz. 125 grams equals 4 1/2 oz. 140 grams equals 5 oz. 150 grams equals 5 1/2 oz. 175 grams equals 6 oz. 200 grams equals 7 oz. 225 grams equals 8 oz.

TCU at No. 9 Texas: The Horned Frogs won only six of their last 39 meetings against Texas when they were still together in the old Southwest Conference through the 1995 season. Coach Gary Patterson and TCU have matched that win total in eight games since joining the Longhorns in the Big 12 less than a decade ago. Texas senior quarterback Sam Ehlinger has 688 yards passing for 10 touchdowns with one interception this season. He had 321 yards and two TDs against TCU last season, but also had the only four-interception game of his career. As a true freshman last October, Max Duggan threw for 273 yards with two touchdowns and ran for 72 yards and another score in the Frogs’ 37-27 win. He threw for 241 yards against Iowa State in his only half of action last week.

BEST MATCHUP

JaQuan Bailey and the Iowa State defensive front vs. Oklahoma’s offensive line, with all five returning starters. The 6-foot-2, 261-pound Bailey, who was limited to four games last season because of a leg injury, had 3 1/2 of Iowa State’s six sacks against TCU last week. The senior end didn’t play last season against the Sooners, whose two top tackles are both at least 6-5 and 326 pounds.

INSIDE THE NUMBERS

Kansas State is the only team that has ever won a Big 12 game when having only 10 first downs. The Wildcats did that last week when upsetting Oklahoma for the second year in a row. ... No. 18 Oklahoma hasn’t lost back-to-back games in the regular season since October 1999, the nation’s longest such streak. The second-longest is Alabama’s that dates to 2007. ... Texas Tech has averaged 43 points and 382 yards passing in the 12 games quarterback Alan Bowman has played in his career. In the 13 games the third-year sophomore has missed because of injury, the Red Raiders have only 27 points a game.

LONG SHOT Kansas is a three-touchdown underdog at home against No. 17 Oklahoma State, which really hasn’t gotten on track offensively since sophomore quarterback Spencer Sanders hurt his ankle in the season opener. Sanders could be back this week for the Cowboys, who have won 10 in a row in the series, by an average margin of 27 points.

PLAYER TO WATCH

Baylor running back Trestan Ebner is the only player in the 25 seasons of Big 12 history to score three different types of touchdowns in a game. He had four TDs against Kansas last week, returning a kickoff and a free kick after a safety for TDs, along with a 1-yard TD run and an 18-yard scoring catch.

___

More AP college football: https://apnews.com/Collegefootball and https://twitter.com/AP_Top25

Here is how we specify a row vector in Octave:

Note that

• the vector is enclosed in square brackets;
• each entry is separated by an optional comma. x = [1 3 2] results in the same row vector.

To specify a column vector, we simply replace the commas with semicolons:

From this you can see that we use a comma to go to the next column of a vector (or matrix) and a semicolon to go to the next row. So, to specify a matrix, type in the rows (separating each entry with a comma) and use a semicolon to go to the next row.

You can use the standard operators to

• add (+),
• subtract (-), and
• multiply (*)

matrices, vectors and scalars with one another. Note that the matrices need to have matching dimensions (inner dimensions in the case of multiplication) for these operators to work.

• The transpose operator is the single quote: '. To continue from the example in the previous section,

(Note: this is actually the complex conjugate transpose operator, but for real matrices this is the same as the transpose. To compute the transpose of a complex matrix, use the dot transpose (.') operator.)

• The power operator (^) can also be used to compute real powers of square matrices.

Element operations[edit]

When you have two matrices of the same size, you can perform element by element operations on them. For example, the following divides each element of A by the corresponding element in B:

Note that you use the dot divide (./) operator to perform element by element division. There are similar operators for multiplication (.*) and exponentiation (.^).

Let's introduce a scalar for future use.

The dot divide operators can also be used together with scalars in the following manner.

returns a matrix, C where each entry is defined by

i.e. a is divided by each entry in B. Similarly

return a matrix with

You can work with parts of matrices and vectors by indexing into them. You use a vector of integers to tell Octave which elements of a vector or matrix to use. For example, we create a vector

Now, to see the second element of x, type

You can also view a list of elements as follows.

This last command displays the 1st, 3rd and 4th elements of the vector x.

To select rows and columns from a matrix, we use the same principle. Let's define a matrix

and select the 1st and 3rd rows and 2nd and 3rd columns:

The colon operator (:) can be used to select all rows or columns from a matrix. So, to select all the elements from the 2nd row, type

You can also use : like this to select all Matrix elements:

Ranges[edit]

We can also select a range of rows or columns from a matrix. We specify a range with

You can actually type ranges at the Octave prompt to see what the results are. For example,

The first number displayed was start, the second was start + step, the third, start + (2 * step). And the last number was less than or equal to stop.

Often, you simply want the step size to be 1. In this case, you can leave out the step parameter and type

As you can see, the result of a range command is simply a vector of integers. We can now use this to index into a vector or matrix. To select the ${\displaystyle 2\times 2}$ submatrix at the top left of A, use

Finally, there is a keyword called end that can be used when indexing into a matrix or vector. It refers to the last element in the row or column. For example, to see the last column in a Matrix, you can use

The following functions can be used to create and manipulate matrices.

Creating matrices[edit]

• tril(A) returns the lower triangular part of A.

• triu(A) returns the upper triangular part of A.

• eye(n) returns the ${\displaystyle n\times n}$ identity matrix. You can also use eye(m, n) to return ${\displaystyle m\times n}$ rectangular identity matrices.

• ones(m, n) returns an ${\displaystyle m\times n}$ matrix filled with 1s. Similarly, ones(n) returns ${\displaystyle n\times n}$ square matrix.

• zeros(m, n) returns an ${\displaystyle m\times n}$ matrix filled with 0s. Similarly, zeros(n) returns ${\displaystyle n\times n}$ square matrix.

• rand(m, n) returns an ${\displaystyle m\times n}$ matrix filled with random elements drawn uniformly from ${\displaystyle [0,1]}$. Similarly, rand(n) returns ${\displaystyle n\times n}$ square matrix.

• randn(m, n) returns an ${\displaystyle m\times n}$ matrix filled with normally distributed random elements.

• randperm(n) returns a row vector containing a random permutation of the numbers ${\displaystyle 1,2,\dots ,n}$.

• diag(x) or diag(A). For a vector, x, this returns a square matrix with the elements of x on the diagonal and 0s everywhere else. For a matrix, A, this returns a vector containing the diagonal elements of A. For example,

• linspace(a, b, n) returns a vector with n values, such that the first element equals a, the last element equals b and the difference between consecutive elements is constant. The last argument, n, is optional with default value 100.

• logspace(a, b, n) returns a vector with n values, such that the first element equals ${\displaystyle {10}^a}$, the last element equals ${\displaystyle {10}^b}$ and the ratio between consecutive elements is constant. The last argument, n is optional with default value 50.

Other matrices[edit]

There are some more functions for creating special matrices. These are

• hankel (Hankel matrix),
• hilb (Hilbert matrix),
• invhilb (Inverse of a Hilbert matrix),
• sylvester_matrix (Sylvester matrix) - In v3.8.1 there is a warning: sylvester_matrix is obsolete and will be removed from a future version of Octave; please use hadamard(2^k) instead,
• toeplitz (Toeplitz matrix),
• vander (Vandermonde matrix).

Use help to find out more about how to use these functions.

Changing matrices[edit]

• fliplr(A) returns a copy of matrix A with the order of the columns reversed, for example,

• flipud(A) returns a copy of matrix A with the order of the rows reversed, for example,

• rot90(A, n) returns a copy of matrix A that has been rotated by (90n)° counterclockwise. The second argument, ${\displaystyle n}$, is optional with default value 1, and it may be negative.

• reshape(A, m, n) creates an ${\displaystyle m\times n}$ matrix with elements taken from A. The number of elements in A has to be equal to ${\displaystyle mn}$. The elements are taken from A in column major order, meaning that values in the first column (${\displaystyle A_{11},\dots ,A_{m1}}$) are read first, then the second column (${\displaystyle A_{12},\dots ,A_{m2}}$), etc.

Readkit 2 6 3 Equals Many

• sort(x) returns a copy of the vector x with the elements sorted in increasing order.

For a description of more operators and functions that can be used to manipulate vectors and matrices, find eigenvalues, etc., see the Linear algebra section.

Readkit 2 6 3 Equals Inches

Return to the Octave Programming Tutorial index