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Public Submissions: Matrix Multiplications

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User	Score	Submitted
bencejdanko Incorrect Questions (5) If matrix $A$ has dimensions $3 \times 2$ and matrix $B$ has dimensions $2 \times 4$ , what are the dimensions of the product $AB$ ? Your response: $4 \times 3$ Calculate the product: $\begin{bmatrix} 1 & 2 \end{bmatrix} \times \begin{bmatrix} 3 \\ 4 \end{bmatrix}$ Your response: $\begin{bmatrix} 3 & 8 \end{bmatrix}$ Which of the following is generally true regarding matrix multiplication? Your response: It is commutative: $AB = BA$ . Multiply the Identity matrix $I$ by any compatible matrix $A$ . What is the result? Your response: $0$ For matrix multiplication $AB$ to be valid, the number of _____ in A must equal the number of _____ in B. Your response: columns; columns	2 / 7 (29%)	1/23/2026, 11:43:42 PM
bencejdanko Incorrect Questions (7) If matrix $A$ has dimensions $3 \times 2$ and matrix $B$ has dimensions $2 \times 4$ , what are the dimensions of the product $AB$ ? Your response: $4 \times 3$ Calculate the product: $\begin{bmatrix} 1 & 2 \end{bmatrix} \times \begin{bmatrix} 3 \\ 4 \end{bmatrix}$ Your response: $\begin{bmatrix} 3 \\ 8 \end{bmatrix}$ Which of the following is generally true regarding matrix multiplication? Your response: It is commutative: $AB = BA$ . Multiply the Identity matrix $I$ by any compatible matrix $A$ . What is the result? Your response: $0$ Given: $A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}, B = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$ Calculate $AB$ . Your response: $\begin{bmatrix} 0 & 3 \\ 4 & 0 \end{bmatrix}$ For matrix multiplication $AB$ to be valid, the number of _____ in A must equal the number of _____ in B. Your response: rows; rows What is the element at row 1, column 1 of the product of these matrices? $\begin{bmatrix} a & b \\ c & d \end{bmatrix} \begin{bmatrix} e & f \\ g & h \end{bmatrix}$ Your response: $af + bh$	0 / 7 (0%)	1/23/2026, 11:42:23 PM

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