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प्रश्न
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
पर्याय
True
False
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उत्तर
This statement is False.
Explanation:
Laws of algebra for factorization and expansion are not applicable to matrices.
संबंधित प्रश्न
If A = `[(8, -3)]` and B = `[(4, -5)]`; find B – A
Wherever possible, write the following as a single matrix.
`[(2, 3, 4),(5, 6, 7)] - [(0, 2, 3),(6, -1, 0)]`
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
If M = `[(2,1),(1,-2)] `; find M2, M3 and M5.
Classify the following rnatrix :
`|(2,1),(0 , 6),(8 , 7) |`
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
If A = `[(1,2), (1,3)]`, find A2 - 3A
`[(0, 0, 0),(0, 0, 0)]`
I2 is the matrix ____________.
