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In Exercises 21–23, use determinants to find out if the matrix is invertible.$$\left[\begin{array}{rrr}{5} & {1} & {-1} \\ {1} & {-3} & {-2} \\ {0} & {5} & {3}\end{array}\right]$$

Determinant is non-zero. So it is invertible

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

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Harvey Mudd College

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In mathematics, the absolu…

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$21-28=$ Finding Determina…

Okay, so in this question, we want to find if this is in vertical by. Using is determined. So there's taking experiments by one minus 11 My mystery, minus two. Your five and three performing operations. We perform row one and it's attract by off road, too. With that integrate one. So this is equal to dessert cause five minutes 50 and we have one minus 15 so that you won plus 16. So that one plus 15 on Ben we have negative one Justin, which gives you not. This is one minus three minus two. There are five Ansari so determined off this. So remembering our signs, it would expand along. This column is positive and this is negative. So this is 91 times by 16 mine five nc, which is negative one times by 16 times by three miners. Nine times five 16 Time by three is 36 you said 3 18 So that's 48 minus 5 45 which is negative one times by three. So we should 93. Since this is not equal to zero, it's me

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