Advertisements
Advertisements
प्रश्न
If A = `[(0, -1),(1, 2)]` and B = `[(1, 2),(-1, 1)]` Find the matrix X if : X – 3B = 2A
उत्तर
A = `[(0, -1),(1, 2)]`
B = `[(1, 2),(-1, 1)]`
X – 3B = 2A
⇒ x = 2A + 3B
X = `2[(0, -1),(1, 2)] + 3[(1, 2),(-1, 1)]`
= `[(0, -2),(2, 4)] + [(3, 6),(-3, 3)]`
= `[(0 + 3, -2 + 6),(2 - 3, 4 + 3)]`
= `[(3, 4),(-1, 7)]`.
APPEARS IN
संबंधित प्रश्न
Find x, y if `[(-2,0),(3,1)][(-1),(2x)] + 3[(-2),(1)] = 2[(y),(3)]`
Evaluate:
`6[(3),(-2)] -2[(-8),(1)]`
Given `A = [(1, 4),(2, 3)] and B = |(-4-1),(-3 -2)|`
Find the matrix 2A + B
Given `A = [(4, 1),(2, 3)]` and `B = [(1,0),(-2, 1)]` find `A^2 - AB + 2B`
If A = `[(1, 4),(2, 1)]`, B = `[(-3, 2),(4, 0)]` and C = `[(1, 0),(0, 2)]`, simplify : A2 + BC.
If `[(x, y)][(x),(y)] = [25]` and `[(-x, y)][(2x),(y)] = [-2]`; find x and y, if:
- x, y ∈ W (whole numbers)
- x, y ∈ Z (integers)
If A = `|(15,7),(13,8)|` and B = `|(16 , 12),(27,11)|` , find matrix X such that A + X
Let A be a 2 x 2 matrix and let I be an identity matrix of the order 2 x 2. Prove that AI = IA = A.
Given that M = `[(2, 0),(1, 2)]` and N = `[(2, 0),(-1,2)]`, find M + 2N
Find X and Y If X + Y = `[(7, 0),(2, 5)]` and X – Y = `[(3, 0),(0, 3)]`