Properties and Arithmetic (AQA A-Level Further Maths): Quizzes

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Properties and Arithmetic
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What is the order of matrix (53−1−405)\begin{pmatrix} 5 & 3 & -1 \\ -4 & 0 & 5 \end{pmatrix}?

2×32 \times 3

When can two matrices be added together?

When they have the same order

What does scalar multiplication of a matrix involve?

Multiplying each element by the scalar

Can a 3×23 \times 2 matrix be multiplied by a 3×23 \times 2 matrix?

No, middle numbers don't match

What is the order of the product of a 3×23 \times 2 matrix and a 2×42 \times 4 matrix?

3×43 \times 4

Is matrix multiplication commutative?

No, generally AB≠BAAB \neq BA

What does the transpose of a matrix do?

Swaps rows and columns

If matrix AA has order 3×53 \times 5, what is the order of ATA^T?

5×35 \times 3

What is (AB)T(AB)^T equal to?

BTATB^T A^T

What does B2B^2 mean for a matrix BB?

B×BB \times B (if BB is square)

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