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Linear Algebra Chapter 2
Linear Algebra Chapter 2 Theorem 1 - CORRECT ANSWER-A, B, and C are matrices of the same size, and r and s are scalars. A+B=B+A (A+B)+C=A+(B+C) A+0=A r(A+B)=rA+rB r(sA)=(rs)A matrix multiplication - CORRECT ANSWER-if A is an mxn matrix and if B is an nxp matrix with columns b_1,....b_p, then the product AB is the mxp matrix whose columns are Ab_1,...Ab_p. That is, AB = A[b1 ... bp] = [Ab1 .... Abp] Each column of AB is a linear combination of A using weights from the corresponding ...
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Linear Algebra Chapter 2 Theorem 1 - CORRECT ANSWER-A, B, and C are matrices of the same size, and r and s are scalars. A+B=B+A (A+B)+C=A+(B+C) A+0=A r(A+B)=rA+rB r(sA)=(rs)A matrix multiplication - CORRECT ANSWER-if A is an mxn matrix and if B is an nxp matrix with columns b_1,....b_p, then the product AB is the mxp matrix whose columns are Ab_1,...Ab_p. That is, AB = A[b1 ... bp] = [Ab1 .... Abp] Each column of AB is a linear combination of A using weights from the corresponding ...