Question: only True or False. PROVIDE necessary brief explaination or solutions thank you. Follow the numbering If r and s are real numbers and A and

only True or False. PROVIDE necessary brief explaination or solutions thank you. Follow the numbering

If r and s are real numbers and A and B are matrices, then A(rB)=r(AB)=(rA)B. * (1 Point) If r is a scalar and A and B are matrices, then * (1 Point) 0 Option 1 0 Option 2 'k (1 Point) If r is a scalar and A and B are matrices, then (AB)? = A7 + B7". The rank (or row rank) of a matrix is the number of zero rows in the matrix after it has been transformed to row echelon form via elementary row operations. * (1 Point) A scalar matrix is a diagonal matrix where all terms on the main diagonal are equal. * (1 Point) Let A, B, and C be mxn matrices, then, A(B+C)=(A+B)C. * (1 Point)

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