Using only matrix operations and theorems of determinants, find k to satisfy the equation below. Note: Methods for computing determinants are only allowed in finding the inverse of a matrix. 1= det[(AB + C")"]+ det[(D¯±)*] Given: 1 1 B- 1 -1 1 y 1 2x -y x(1 – 2y) 1 -1 D= y

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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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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Using only matrix operations and theorems of determinants, find k to satisfy the equation below.
Note: Methods for computing determinants are only allowed in finding the inverse of a matrix.
1 = det[(AB + C")"] + det[(D-!)"]
Given:
1
1
1
y
A=
B-
1
-1
k
1
y
1
2x
-y
1
-1
2
x(1 - 2y*)
2
y
(1-)z
-1
1
1
1
y
1
xy
xy
Transcribed Image Text:Using only matrix operations and theorems of determinants, find k to satisfy the equation below. Note: Methods for computing determinants are only allowed in finding the inverse of a matrix. 1 = det[(AB + C")"] + det[(D-!)"] Given: 1 1 1 y A= B- 1 -1 k 1 y 1 2x -y 1 -1 2 x(1 - 2y*) 2 y (1-)z -1 1 1 1 y 1 xy xy
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