(a) Find x, y, z and B, where 10 x 3 -3 y 4 4 A = 1 ; A² = 1 ; A² = 1 ; ; c(A+1)+3BT = 2A and I : unit matrix ca-b b

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Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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(a) Find x, y, z and B, where
0 x 3
-3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix
4
4
o a-b
(b)Using properties of determinants,
prove without open the determinant that:
A = 1
1 a b+c
1 b c+a=0 (a-b)
Transcribed Image Text:(a) Find x, y, z and B, where 0 x 3 -3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix 4 4 o a-b (b)Using properties of determinants, prove without open the determinant that: A = 1 1 a b+c 1 b c+a=0 (a-b)
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