Q. 5 B4.6( 42 Votes )

# Construct a 3 × 4 matrix, whose elements are given by:

Answer :

In general 3 × 4 matrix is given by A =

a_{ij} = 2i-j, i = 1,2,3 and j = 1,2,3,4

Therefore,

a_{11} = 2 × 1 - 1 = 2 - 1 = 1

a_{21} = 2 × 2 - 1 = 4 - 1 = 3

a_{31} = 2 × 3 - 1 = 6 - 1 = 5

a_{12} = 2 × 1 - 2 = 2 - 2 = 0

a_{22} = 2 × 2 - 2 = 4 - 2 = 2

a_{32} = 2 × 3 - 2 = 6 - 2 = 4

a_{13} = 2 × 1 - 3 = 2 - 3 = -1

a_{23} = 2 × 2 - 3 = 4 - 3 = 1

a_{33} = 2 × 3 - 3 = 6 - 3 = 3

a_{14} = 2 × 1 - 4 = 2 - 4 = -2

a_{24} = 2 × 2 - 4 = 4 - 4 = 0

a_{34} = 2 × 3 - 4 = 6 - 4 = 2

Therefore, required matrix is A =

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If then the value of x + y is

Mathematics - ExemplarSolve for x and y:

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Which of the following statements are True or False

If A and B are two square matrices of the same order, then AB = BA.

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If and , then verify (BA)^{2} ≠ B^{2}A^{2}.

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is

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(i) (AB) C = A (BC)

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a_{ij} = 0 if i = j, then A^{2} is equal to