Advertisements
Advertisements
प्रश्न
Find the matrix X of order 2 × 2 which satisfies the equation `[(3, 7),(2, 4)] [(0, 2),(5, 3)] + 2"X" = [(1, -5),(-4, 6)]`
उत्तर
Given
`[(3, 7),(2, 4)] [(0, 2),(5, 3)] + 2"X" = [(1, -5),(-4, 6)]`
⇒ `[(0 + 35, 6 + 21),(0 + 20, 4 + 12)] + 2 "X" = [(1, -5),(-4, 6)]`
⇒ `[(35, 27),(20, 16)] + 2"X" = [(1, -5),(-4, 6)]`
2X = `-[(35, 27),(20, 16)] + [(1, -5),(-4, 6)]`
= `[(-34, -32),(-24, -10)]`
X = `(1)/(2)[(-34, -32),(-24, -10)]`
= `[(-17, -16),(-12, -5)]`.
APPEARS IN
संबंधित प्रश्न
If A = `[(1, 3),(2, 4)]`, B = `[(1, 2),(4, 3)]` and C = `[(4, 3),(1, 2)]`, find:
- (AB)C
- A(BC)
Is A(BC) = (AB)C?
Given A = `[(0, 4, 6),(3, 0, -1)]` and B = `[(0, 1),(-1, 2),(-5, -6)]`, find if possible A2
If A = `[(a, 0),(0, 2)]`, B = `[(0, -b),(1, 0)]`, M = `[(1, -1),(1, 1)]` and BA = M2, find the values of a and b.
Given A = `[(4, 1),(2, 3)]` and B = `[(1, 0),(-2, 1)]`, find AB.
If M = `[(4,1),(-1,2)]`, show that 6M – M2 = 9I; where I is a 2 × 2 unit matrix.
Construct a 2 x 2 matrix whose elements aij are given by
aij = 2i - j
Given A = `[(1 , 1),(8 , 3)]` evaluate A2 - 4A.
Find x and y if `[(-3, 2),(0, -5)] [(x),(2)] = [(5),(y)]`
Find the value of x given that A2 = B Where A = `[(2, 12),(0, 1)] and "B" = [(4, x),(0, 1)]`
If A = `[(2, 3),(1, 2)]` find x and y so that A² – xA + yI
