EASY
12th West Bengal Board
IMPORTANT
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All diagonal elements of a skew-symmetric matrix are necessarily zero.

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Important Questions on Elementary Theory of Matrices

EASY
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 two matrices A, B we must have the expression AB as a well-defined matrix.

EASY
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 two square matrices A, B of the same order, AB=BA.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2
For every choice of square matrices A, B of the same order, AB≠BA.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2
Any two rectangular matrices can be added, though may not be multiplied.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2
Matrix addition, when defined, is associative.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2
Product of two non-null matrices, when defined, is a non-null matrix.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2
Matrix multiplication (when defined) is distributive over matrix addition.
EASY
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.