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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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