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12th West Bengal Board
IMPORTANT
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Every diagonal matrix is

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Important Questions on Elementary Theory of Matrices

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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

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12th West Bengal Board
IMPORTANT

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

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12th West Bengal Board
IMPORTANT
The number of all possible matrices of order 2×2 with each entry either 1 or -1 is
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12th West Bengal Board
IMPORTANT
If A=aijp×q is a square matrix then,
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12th West Bengal Board
IMPORTANT
A and B are two non-commutable matrices of same order. Then (A+B)(A-B)=
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12th West Bengal Board
IMPORTANT

If A and B are two non-commutable matrices of same order, then (A+B)2

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12th West Bengal Board
IMPORTANT
For a square matrix A of any arbitrary order