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12th West Bengal Board
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Matrix multiplication (when defined) is distributive over matrix addition.

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Important Questions on Elementary Theory of Matrices

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12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2
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
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2
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
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3
The order of the singleton matrix is
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12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3
Every diagonal matrix is
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12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3
If A and B are symmetric matrices, then ABA is a
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12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3

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

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12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3

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

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12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3
The number of all possible matrices of order 2×2 with each entry either 1 or -1 is