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.

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Chapter5: Inner Product Spaces
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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.
Transcribed Image Text: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.
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