Adding and Subtracting Matrices (VCE SSCE General Mathematics): Quizzes

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Adding and Subtracting Matrices
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What must be true about two matrices before they can be added or subtracted?

They must have the same order

What does 'same order' mean for matrices?

Same number of rows and columns

When adding matrices, what do you do with the elements?

Add elements in corresponding positions

When subtracting matrices, what operation is performed?

Subtract corresponding elements

What is [2451]+[9891]\begin{bmatrix} 2 & 4 \\ 5 & 1 \end{bmatrix} + \begin{bmatrix} 9 & 8 \\ 9 & -1 \end{bmatrix}?

[1112140]\begin{bmatrix} 11 & 12 \\ 14 & 0 \end{bmatrix}

What is [7328][4219]\begin{bmatrix} 7 & 3 \\ 2 & 8 \end{bmatrix} - \begin{bmatrix} 4 & 2 \\ -1 & 9 \end{bmatrix}?

[3131]\begin{bmatrix} 3 & 1 \\ 3 & -1 \end{bmatrix}

What is a zero matrix?

A matrix where all elements are zero

What happens when you add a zero matrix to any matrix?

The original matrix remains unchanged

What is the result of subtracting any matrix from itself?

A zero matrix

Which pair of matrices can be added together?

Two 2×32 \times 3 matrices

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