Let A be a 8 x 8matrix with rank 8. Suppose there are two 8 × 8matrices Land U such that A = LU. Then which of the following is true? Select all possible answers. |rank(A)= rank(L). ]rank(A)= rank(U). |Both U and L are invertible. column space(A)= column space(L). L+Umust be invertible.
Let A be a 8 x 8matrix with rank 8. Suppose there are two 8 × 8matrices Land U such that A = LU. Then which of the following is true? Select all possible answers. |rank(A)= rank(L). ]rank(A)= rank(U). |Both U and L are invertible. column space(A)= column space(L). L+Umust be invertible.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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