Matrices 1 (AQA A-Level Further Maths): Flashcards

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Properties and Arithmetic
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Matrix order n×mn \times m meaning

nn rows, mm columns

In matrix order, which dimension stated first?

Rows (then columns)

Requirement to add/subtract matrices

Must have same order

Scalar multiplication of a matrix

Multiply each element by the scalar

Conformability rule for matrix multiplication

Columns in first = rows in second

Is matrix multiplication commutative?

No, in general ABBAAB \neq BA

Matrix transpose operation

Swap rows and columns

Transpose property: (AB)T=(AB)^T =

BTATB^T A^T (order reverses)

Zero matrix

All elements equal to zero

What does B2B^2 mean for a matrix?

B×BB \times B, NOT squaring each element

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