Matrix Dimensions (Edexcel A-Level Further Mathematics): Flashcards

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Matrix Dimensions
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m×nm \times n matrix means?

mm rows, nn columns

3D identity matrix diagonal entries?

All 1s

3D matrix determinant represents?

Volume scale factor

Negative determinant indicates?

Orientation changed

x=0x=0 plane alternate name?

yzyz-plane

Reflection in z=0z=0 plane: coord. that changes?

zz-coordinate

Reflection in x=0x=0 plane: matrix diagonal?

1,1,1-1, 1, 1

Reflection in y=0y=0 plane: matrix diagonal?

1,1,11, -1, 1

Reflection in z=0z=0 plane: matrix diagonal?

1,1,11, 1, -1

Rotation about zz-axis: unchanged coordinate?

zz-coordinate

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