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12th West Bengal Board
IMPORTANT
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Matrix addition, when defined, is associative.

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Important Questions on Elementary Theory of Matrices

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12th West Bengal Board
IMPORTANT
Product of two non-null matrices, when defined, is a non-null matrix.
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12th West Bengal Board
IMPORTANT
Matrix multiplication (when defined) is distributive over matrix addition.
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12th West Bengal Board
IMPORTANT
For two matrices A, B if AB=O then either A=O or B=O where O is a suitable null matrix.
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12th West Bengal Board
IMPORTANT
For any three matrices A, B, C of order 2 if CA=CB then A=B.
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12th West Bengal Board
IMPORTANT
The order of the singleton matrix is
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12th West Bengal Board
IMPORTANT
If A and B are symmetric matrices, then ABA is a
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12th West Bengal Board
IMPORTANT

If A, B are symmetric matrices of the same order then AB-BA is