EASY
12th West Bengal Board
IMPORTANT
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Matrix multiplication when defined, is not necessarily .[commutative/associative/distributive]

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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 1
Order of the product matrix 1−25×−7    8    9×28−6 is 3×_____.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 1
If A=1    0    00    1    00    0    1 then A3=_____.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 1
If A is a 2×2 non-singular matrix then AB=O implies B=_____.[Null matrix, non-singular matrix, diagonal matrix, identity matrix].
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 1
If A is a skew-symmetric matrix which is also symmetric, then A is _____ 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
The identity matrix is a diagonal 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
Null matrix is always a square 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
All diagonal elements of a skew-symmetric matrix are necessarily zero.
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.