Here are four matrices: {:[A=[[3],[4],[5]]quadB=[[-1,-3],[0,4]]],[C=[[2],[1],[0]]quadD=[[-5,2],[3,-4]]]:} Which of the following calculations are possible? Choose all answers that apply: A A+C B B+C c C-A D D-B

Check Matrix Dimensions: Matrix addition and subtraction are only possible when the matrices have the same dimensions. Let's check the dimensions of each matrix. Matrix A is a 3x1 matrix. Matrix B is a 2x2 matrix. Matrix C is a 3x1 matrix. Matrix D is a 2x2 matrix.Check Matrix Operations: Now let's check each operation to see if it's possible by comparing the dimensions of the matrices involved. A+C: Both A and C are 3x1 matrices, so this operation is possible.Addition of A and C: B+C: B is a 2x2 matrix and C is a 3x1 matrix. Since they have different dimensions, this operation is not possible.Subtraction of B and C: C-A: Both C and A are 3x1 matrices, so this operation is possible.Subtraction of C and A: D-B: Both D and B are 2x2 matrices, so this operation is possible.

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Here are four matrices:

{:[A=[[3],[4],[5]]quadB=[[-1,-3],[0,4]]],[C=[[2],[1],[0]]quadD=[[-5,2],[3,-4]]]:}
Which of the following calculations are possible?
Choose all answers that apply:
A
A+C
B
B+C
c
C-A
D
D-B

Here are four matrices: $\newline$ $\begin{array}{l} \mathbf{A}=\left[\begin{array}{l} 3 \\ 4 \\ 5 \end{array}\right] \quad \mathbf{B}=\left[\begin{array}{cc} -1 & -3 \\ 0 & 4 \end{array}\right] \\ \mathbf{C}=\left[\begin{array}{l} 2 \\ 1 \\ 0 \end{array}\right] \quad \mathbf{D}=\left[\begin{array}{ll} -5 & 2 \\ 3 & -4 \end{array}\right] \end{array}$ $\newline$ Which of the following calculations are possible? $\newline$ Choose all answers that apply: $\newline$ (A) $\mathbf{A}+\mathbf{C}$ $\newline$ (B) $\mathbf{B}+\mathbf{C}$ $\newline$ (C) $\mathbf{C}-\mathbf{A}$ $\newline$ (D) $\mathbf{D}-\mathbf{B}$

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Grade 8

Mean, median, mode, and range: find the missing number

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Q. Here are four matrices:

\newline

\begin{array}{l} \mathbf{A}=\left[\begin{array}{l} 3 \\ 4 \\ 5 \end{array}\right] \quad \mathbf{B}=\left[\begin{array}{cc} -1 & -3 \\ 0 & 4 \end{array}\right] \\ \mathbf{C}=\left[\begin{array}{l} 2 \\ 1 \\ 0 \end{array}\right] \quad \mathbf{D}=\left[\begin{array}{ll} -5 & 2 \\ 3 & -4 \end{array}\right] \end{array}

\newline

Which of the following calculations are possible?

\newline

Choose all answers that apply:

\newline

(A)

\mathbf{A}+\mathbf{C}

\newline

(B)

\mathbf{B}+\mathbf{C}

\newline

(C)

\mathbf{C}-\mathbf{A}

\newline

(D)

\mathbf{D}-\mathbf{B}

Check Matrix Dimensions: Matrix addition and subtraction are only possible when the matrices have the same dimensions. Let's check the dimensions of each matrix. $\newline$ Matrix A is a $3 \times 1$ matrix. $\newline$ Matrix B is a $2 \times 2$ matrix. $\newline$ Matrix C is a $3 \times 1$ matrix. $\newline$ Matrix D is a $2 \times 2$ matrix.
Check Matrix Operations: Now let's check each operation to see if it's possible by comparing the dimensions of the matrices involved. $\newline$ $A+C$ : Both $A$ and $C$ are $3 \times 1$ matrices, so this operation is possible.
Addition of A and C: $B+C$ : $B$ is a $2 \times 2$ matrix and $C$ is a $3 \times 1$ matrix. Since they have different dimensions, this operation is not possible.
Subtraction of B and C: $C-A$ : Both $C$ and $A$ are $3 \times 1$ matrices, so this operation is possible.
Subtraction of $C$ and $A$ : $D-B$ : Both $D$ and $B$ are $2 \times 2$ matrices, so this operation is possible.