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Questions and Answers
What is the result of adding the matrices $\begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$ and $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$?
What is the result of adding the matrices $\begin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix}$ and $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$?
- $\begin{bmatrix} 5 & 7 \\ 9 & 11 \end{bmatrix}$ (correct)
- $\begin{bmatrix} 3 & 5 \\ 7 & 9 \end{bmatrix}$
- $\begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$
- $\begin{bmatrix} 8 & 10 \\ 12 & 14 \end{bmatrix}$
What is the result of multiplying the matrices $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$ and $\begin{bmatrix} 2 & 1 \ 4 & 3 \end{bmatrix}$?
What is the result of multiplying the matrices $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$ and $\begin{bmatrix} 2 & 1 \ 4 & 3 \end{bmatrix}$?
- $\begin{bmatrix} 4 & 7 \\ 10 & 15 \end{bmatrix}$
- $\begin{bmatrix} 5 & 8 \\ 11 & 18 \end{bmatrix}$
- $\begin{bmatrix} 14 & 20 \\ 20 & 30 \end{bmatrix}$ (correct)
- $\begin{bmatrix} 6 & 5 \\ 14 & 13 \end{bmatrix}$
Which property is demonstrated by the equation $A(B+C) = AB + AC$, where $A$, $B$, and $C$ are matrices?
Which property is demonstrated by the equation $A(B+C) = AB + AC$, where $A$, $B$, and $C$ are matrices?
- Commutative property
- Identity property
- Distributive property (correct)
- Associative property
What is the determinant of the matrix $\begin{bmatrix} -2 & -3 \ -1 & -4 \end{bmatrix}$?
What is the determinant of the matrix $\begin{bmatrix} -2 & -3 \ -1 & -4 \end{bmatrix}$?
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