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प्रश्न
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
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उत्तर
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
`=> [(5 - 1, 2 - (x - 1)),(-1 -2, y - 1 -(-3))] = [(4,7),(-3, 2)]`
`=> [(4, 2 - x + 1),(-3, y - 1 -(-3))] = [(4,7),(-3, 2)]`
`=> [(4, 3-x),(-3, y + 2)] = [(4, 7), (-3, 2)]`
Equating the corresponding elements, we get
3 – x = 7 `=>` x = –7 + 3 = – 4
And y + 2 = 2 `=>` y = 2 – 2 = 0
Thus, we get, x = – 4 and y = 0.
संबंधित प्रश्न
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.
A . (B – C) = A . B – A . C
Classify the following matrix :
`[(7, 0)]`
If P= (8,5),(7,2) find : P + Pt
Evaluate the following :
`|(2 , 3),(-4 , 0)| |(3 , -2),(-1 , 4)|`
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
If A = `[(1,1),(2,2)] , "B" = [(1,2),(3,4)]` then find |AB|.
If A = `[(1,0,0),(2,1,0),(3,3,1)]` then find A-1 by using elementary transformation .
`[(2, -1),(5, 1)]`
`[(0, 0, 0),(0, 0, 0)]`
