Introduction to Matrices (Edexcel A-Level Further Mathematics): Quizzes

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Introduction to Matrices
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What are matrices primarily described as?

Rectangular arrays of numbers

In the notation aija_{ij}, what does ii represent?

The row number

A matrix with the same number of rows and columns is called?

Square matrix

What dimension is (123)\begin{pmatrix} 1 & 2 & 3 \end{pmatrix}?

1×31 \times 3

When can two matrices be added together?

When they have the same dimensions

In scalar multiplication, what happens to the matrix?

Every element is multiplied

When multiplying matrices, how do you move through the first matrix?

Left to right

Are matrices generally commutative under multiplication?

No

For multiplying m×nm \times n by n×kn \times k matrices, which dimensions must match?

Inner dimensions

What are the dimensions of the result when multiplying 3×23 \times 2 by 2×42 \times 4?

3×43 \times 4

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