1. Mark each statement True or False (write the entire word; not T\" or \'F\").

Question

1. Mark each statement True or False (write the entire word; not T" or 'F"). If you mark a statement false, correct it by replacing exactly one word, phrase, or symbol. a) A triangular matrix is invertible if and only if one diagonal entry is zero. c) For any matrix A, ATAT is a symmetric matrix. d) If A is an invertible matrix, then AT is also invertible. If S = Sr is factored into LDU with no row exchanges, then U-L A subspace of R" is sometimes a vector space in itself. Every subspace must contain the zero vector. If A is m by n, then the column space of A is a subspace of Rn. e) g)- h) i) Every rank one matrix is one column times one row. j), Reduced Row Echelon Form (rref), R, of the matrix A has l the pivots and O's above and below the pivots.

Explanation / Answer

A) True

B) True

C) True

D) True

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