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What $3 \times 3$ matrix will have the same effect on homogeneous coordinates for $\mathbb{R}^{2}$ that the shear matrix $A$ has in Example 2$?$

$\left[\begin{array}{ccc}{1} & {.25} & {0} \\ {0} & {1} & {0} \\ {0} & {0} & {1}\end{array}\right]$

Algebra

Chapter 2

Matrix Algebra

Section 7

Applications to Computer Graphics

Introduction to Matrices

McMaster University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

04:16

Suppose $A$ is a $3 \times…

02:36

Give an example of two mat…

12:18

Give an example of a $3 \t…

06:41

Show that a $3 \times 7$ m…

02:46

02:40

Construct a $3 \times 3$ m…

01:58

Fill in the blanks.The…

01:43

02:06

Give an example of a matri…

03:19

Let $A$ be a $3 \times 2$ …

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Give an example of a matrix of the specified form. (In some cases, many exam…

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03:18

[M] Read the documentation for your matrix program, and write the commands t…

07:34

After taking a nutrition class, a big Annie’s® Mac and Cheese fan decides to…

01:00

The Cambridge Diet supplies .8 g of calcium per day, in addition to the nutr…

01:09

How many rows does $B$ have if $B C$ is a $3 \times 4$ matrix?

01:03

The expansion of a $3 \times 3$ determinant can be remembered by the followi…

04:05

An $m \times n$ upper triangular matrix is one whose entries below the main …

03:15

Find an LU factorization of the matrices in Exercises $7-16$ (with $L$ unit …

02:55

Should be solved without performing row operations. [Hint: Write $A \mathbf{…

02:41

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If $\mathbf{b} \neq \mathbf{0},$ can the solution set of $A \mathbf{x}=\math…

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