Select all that are TRUE. Select one or more: a. Matrix-matrix multiplication is

Q: Select all that are TRUE. Select one or more: a. Matrix-matrix multiplication is

d. Matrix product A×B is defined ONLY if the number of columns in A is equal to the number of rows in B We can do matrix multiplication if the number of columns in Matrix A is equal to the no of rows in matric B. This is the standard procedure. g. (A×B)1=A1×B1 provided the corresponding products and inverses exist

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Select all that are TRUE.

Select one or more:

a. Matrix-matrix multiplication is commutative, A×B=B×AA×B=B×A

b. Matrix-matrix multiplication can be commutative, A×B=B×AA×B=B×A, for some matrices A and B

c. Matrix product A×BA×B is defined ONLY if the number of rows in A is equal to the number of columns in B

d. Matrix product A×BA×B is defined ONLY if the number of columns in A is equal to the number of rows in B

e. Provided that the product of A×BA×B is defined, the resulting matrix is of order nrows(A)×ncols(B)nrows(A)×ncols(B)

f. (A×B)T=BT×AT(A×B)T=BT×AT provided the corresponding products exist

g. (A×B)1=A1×B1(A×B)1=A1×B1 provided the corresponding products and inverses exist

Explanation / Answer

d. Matrix product A×B is defined ONLY if the number of columns in A is equal to the number of rows in B

We can do matrix multiplication if the number of columns in Matrix A is equal to the no of rows in matric B. This is the standard procedure.

g. (A×B)1=A1×B1 provided the corresponding products and inverses exist

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Select all that are TRUE. Select one or more: a. Matrix-matrix multiplication is

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