Matrix Multiplication Concepts

What must be true for two matrices to be multiplied together?

• Both matrices must have the same number of columns.

• Both matrices must have the same number of rows.

• The number of columns in the first matrix must equal the number of rows in the second matrix.

• The number of rows in the first matrix must equal the number of columns in the second matrix.

What are the dimensions of matrix A?

• 3 by 5

• 5 by 3

• 5 by 5

• 3 by 3

What are the dimensions of matrix B?

• 5 by 5

• 3 by 5

• 5 by 3

• 3 by 3

Can matrix A be multiplied by matrix B?

• Yes, because the number of columns in A equals the number of rows in B.

• No, because both matrices have different dimensions.

• No, because the number of columns in A does not equal the number of rows in B.

• Yes, because both matrices have the same number of rows.

What is the result of multiplying matrix A by matrix B?

• A 5 by 3 matrix

• A 3 by 5 matrix

• A 5 by 5 matrix

• A 3 by 3 matrix

Can matrix C be multiplied by matrix B?

• Yes, because the number of columns in C equals the number of rows in B.

• No, because the number of columns in C does not equal the number of rows in B.

• Yes, because both matrices have the same number of columns.

• No, because both matrices have different dimensions.

Can matrix B be multiplied by matrix C?

• Yes, because the number of columns in B equals the number of rows in C.

• No, because the number of columns in B does not equal the number of rows in C.

• Yes, because both matrices have the same number of rows.

• No, because both matrices have different dimensions.

Can matrix B be multiplied by matrix A?

• Yes, because the number of columns in B equals the number of rows in A.

• No, because the number of columns in B does not equal the number of rows in A.

• Yes, because both matrices have the same number of columns.

• No, because both matrices have different dimensions.

What is the result of multiplying matrix B by matrix A?

• A 5 by 3 matrix

• A 3 by 5 matrix

• A 5 by 5 matrix

• A 3 by 3 matrix

Can matrix C be multiplied by matrix A?

• Yes, because the number of columns in C equals the number of rows in A.

• No, because the number of columns in C does not equal the number of rows in A.

• Yes, because both matrices have the same number of columns.

• No, because both matrices have different dimensions.