6. Suppose that a 3 x 3 matrix A has its three rows given by vectors u, v, and w in this order (that is, these are the first, second, and third rows). Further, suppose that det(A) = 4. a. What would be the value of the determinant of the matrix that had its three rows given by the vectors u, -w, and 50 in this order? b. What would be the value of the determinant of the matrix that had its three rows given by ủ, 4ũ + v, and u + 4w in this order? What would be the value of the determinant of the matrix that had its three rows given by the vectors u, i, and 2ü +5v in this order? C.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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6. Suppose that a 3 x 3 matrix A has its three rows given by vectors ū, i, and w in this order (that
is, these are the first, second, and third rows). Further, suppose that det(A) = 4.
a. What would be the value of the determinant of the matrix that had its three rows given by
the vectors u, -w, and 50 in this order?
b. What would be the value of the determinant of the matrix that had its three rows given by
ủ, 4ũ + v, and u + 4w in this order?
What would be the value of the determinant of the matrix that had its three rows given by
the vectors u, v, and 2ü + 50 in this order?
C.
Transcribed Image Text:6. Suppose that a 3 x 3 matrix A has its three rows given by vectors ū, i, and w in this order (that is, these are the first, second, and third rows). Further, suppose that det(A) = 4. a. What would be the value of the determinant of the matrix that had its three rows given by the vectors u, -w, and 50 in this order? b. What would be the value of the determinant of the matrix that had its three rows given by ủ, 4ũ + v, and u + 4w in this order? What would be the value of the determinant of the matrix that had its three rows given by the vectors u, v, and 2ü + 50 in this order? C.
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