The inverse matrix A − 1 of the matrix A = [ 4 2 3 2 1 0 − 1 − 2 0 ] or show that no inverse exists.

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Answer 1

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Chapter B, Problem 41E

To determine

The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

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Let the universal set be whole numbers 1 through 20 inclusive. That is, U = {1, 2, 3, 4, . . ., 19, 20}. Let A, B, and C be subsets of U. Let A be the set of all prime numbers: A = {2, 3, 5, 7, 11, 13, 17, 19} Let B be the set of all odd numbers: B = {1,3,5,7, . . ., 17, 19} Let C be the set of all square numbers: C = {1,4,9,16}

Answer 2

Question

Chapter B, Problem 41E

To determine

The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

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Answer 3

Question

Chapter B, Problem 41E

To determine

The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

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Answer 4

Question

Chapter B, Problem 41E

To determine

The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

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Answer 5

Chapter B, Problem 41E

To determine

The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

Answer 6

Chapter B, Problem 41E

To determine

The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

Answer 7

Chapter B, Problem 41E

To determine

The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. B - Prob. 1E Ch. B - Prob. 2E Ch. B - Prob. 3E Ch. B - Prob. 4E Ch. B - Prob. 5E Ch. B - Prob. 6E Ch. B - Prob. 7E Ch. B - Prob. 8E Ch. B - Prob. 9E Ch. B - Prob. 10E

The inverse matrix A − 1 of the matrix A = [ 4 2 3 2 1 0 − 1 − 2 0 ] or show that no inverse exists.

Solution Summary: The author calculates the inverse matrix A-1 of A, which is non-singular if its determinant is equal to 0.

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The inverse matrix A−1 of the matrix A=[423210−1−20] or show that no inverse exists.

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Chapter B Solutions