Matrix Arithmetic: Addition, Subtraction, and Scalar Multiplication (VCE SSCE General Mathematics): Quizzes

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Matrix Arithmetic: Addition, Subtraction, and Scalar Multiplication
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For two matrices to be equal, what conditions must be satisfied?

Same order & identical corresponding elements

When can you add two matrices together?

Only when they have the same order

What is [2314]+[1222]\begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix} + \begin{bmatrix} 1 & 2 \\ 2 & -2 \end{bmatrix}?

[3532]\begin{bmatrix} 3 & 5 \\ 3 & 2 \end{bmatrix}

What is 4(2)4 - (-2) when subtracting matrix elements?

66

What does scalar multiplication mean?

Multiply every element by a single number

What is 3[2104]3\begin{bmatrix} 2 & 1 \\ 0 & 4 \end{bmatrix}?

[63012]\begin{bmatrix} 6 & 3 \\ 0 & 12 \end{bmatrix}

What matrix results from XXX - X for any matrix XX?

The zero matrix OO

Which operation requires matrices to have the same order?

Both addition and subtraction

If BB represents 2015 sales and AA represents 2014 sales, what does BAB - A show?

Increase in sales from 2014 to 2015

Why does 1.5B1.5B represent a 50% increase in matrix BB?

1.5=1+0.51.5 = 1 + 0.5, which is 100% + 50%

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