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प्रश्न
Construct a 2 x 2 matrix whose elements aij are given by aij = i.j
उत्तर
It can be `[(1, 2),(2, 4)]`.
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संबंधित प्रश्न
Wherever possible, write the following as a single matrix.
`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
Find x and y from the given equations:
`[(-8, x)] + [(y, -2)] = [(-3, 2)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A2 – B2 = (A + B) (A – B)
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A – B)2 = A2 – 2A . B + B2
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
Solve the equation x + y = 4 and 2x - y = 5 using the method of reduction.
If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A| |B|.
`[(3),(0),(-1)]`
`[(2 ,- 4),(0 ,0),(1 , 7)]`
