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a. Verify that $A^{2}=I$ when $A=\left[\begin{array}{rr}{1} & {0} \\ {3} & {-1}\end{array}\right]$b. Use partitioned matrices to show that $M^{2}=I$ when $M=\left[\begin{array}{rrrr}{1} & {0} & {0} & {0} \\ {3} & {-1} & {0} & {0} \\ {1} & {0} & {-1} & {0} \\ {0} & {1} & {-3} & {1}\end{array}\right]$

$M ^ { 2 } = I$

Algebra

Chapter 2

Matrix Algebra

Section 4

Partitioned Matrices

Introduction to Matrices

Missouri State University

Harvey Mudd College

Baylor University

Lectures

01:32

In mathematics, the absolu…

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02:28

Use the matrices $A=\left[…

03:38

01:55

Let$$\begin{aligne…

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For $I_{2}=\left[\begin{ar…

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Use matrix multiplication,…

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Let $A$ be the $2 \times 2…

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02:43

Okay, So for this program for payday, we just need to do a simple calculation. A square ecos 2103 minus one Anti self eso We have 1001 which is the idea of your magics and the for profit be We don't have to do these magic vacation again by part A. We can petition this matrix in into four two by 27 images is so we have a zero I minus a and we can do the modification for this block to magics. So I'm square equals two a zero I minus a times yourself which we have a square 00 another is square here and by part of a were already know that a square coast were toe by toe idea the magics that means on the result equals toe a four by four me magics. And with this proof, the statement in this problem

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