Suppose A is a 3x3 matrix with columns v1, Ú2, Ú3 satisfying the following conditions: (i) {U1, 72, 3} is an orthogonal set. (ii) 7ị · ở1 = 3, v2 · 72 = 5, and v3 · 03 = 2, %3D Which of the following statements is true? O det(A) = 0 O A' A is a diagonal matrix. A is symmetric. O A-1 = AT

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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Suppose A is a 3x3 matrix with columns 71, v2, 33 satisfying the following conditions:
(i) {v1, 72, 3} is an orthogonal set.
(ii) V1 • 7ị = 3, 72 · 52 = 5, and vz · 03 = 2,
|
Which of the following statements is true?
det(A) = 0
O ATA is a diagonal matrix.
A is symmetric.
O A-l= AT
Transcribed Image Text:Suppose A is a 3x3 matrix with columns 71, v2, 33 satisfying the following conditions: (i) {v1, 72, 3} is an orthogonal set. (ii) V1 • 7ị = 3, 72 · 52 = 5, and vz · 03 = 2, | Which of the following statements is true? det(A) = 0 O ATA is a diagonal matrix. A is symmetric. O A-l= AT
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