6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)

6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.4: Determinants

Problem 45PS

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Question

6.
Consider the matrices
G =
0
(3)
-3\
-3
2
and H =
-1
2
0
5
0
5
5
noting that H(:, 3) = 2H(:,1) + H(:, 2).
Is G invertible? Explain your answer.
Is H invertible? Explain your answer.
Use co-factor expansion to find the determinant of H. (Hint:
expand the 2nd or 3rd row)

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