1. Consider(a)(b)(c) [(d)M =13 524789 aCompute |M| by unfolding the matrix according to the definition of determinant.For which values of a does the inverse M-1 exist?$] Let a = 10. Compute the inverse of M.Assume that M-1 does not exist and MX1 1 123573 47104 5 9 14279bhas a solution. What is thevalue of b? Find all the solutions.(e)] Using the rule that multiplying a row (column) by a non-zero constant and adding itto another row (column) has no effect on the determinant, calculate

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1. Consider (a) (b) (c) [ M = 1 3 5 247 89 a Compute M| by unfolding the matrix according to the definition of determinant. For which values of a does the inverse M-¹ exist? $] Let a 10. Compute the inverse of M.

1. Consider (a) (b) (c) [ M = 1 3 5 247 89 a Compute M| by unfolding the matrix according to the definition of determinant. For which values of a does the inverse M-¹ exist? $] Let a 10. Compute the inverse of M.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 25E

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Question

1. Consider
(a)
(b)
(c) [
(d)
M =
13 5
247
89 a
Compute |M| by unfolding the matrix according to the definition of determinant.
For which values of a does the inverse M-1 exist?
$] Let a = 10. Compute the inverse of M.
Assume that M-1 does not exist and M
X
1 1 1
2357
3 4
7
10
4 5 9 14
2
7
9
b
has a solution. What is the
value of b? Find all the solutions.
(e)
] Using the rule that multiplying a row (column) by a non-zero constant and adding it
to another row (column) has no effect on the determinant, calculate

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Step 2: Calculating the formula for determinant part a.)

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Step 3: Finding the value of determinant when a=10 and inverse of M parts b and c.

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