Advertisements
Advertisements
प्रश्न
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
Advertisements
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
Given : `[(x, y + 2),(3, z - 1)] = [(3, 1),(3, 2)]`; find x, y and z.
Wherever possible, write the following as a single matrix.
`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`
Given : M = `[(5, -3),(-2, 4)]`, find its transpose matrix Mt. If possible, find Mt – M
Evaluate the following :
`|(2 , 3),(-4 , 0)| |(3 , -2),(-1 , 4)|`
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
Evaluate the following :
`|(0 , 1),(-1 , 2),(-2 , 0)| |(0 , -4 , 0),(3 , 0 , -1)|`
If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|` find BA
If A = `[(1,1),(2,2)] , "B" = [(1,2),(3,4)]` then find |AB|.
`[(0, 0, 0),(0, 0, 0)]`
If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.
