Advertisements
Advertisements
प्रश्न
Given `A = [(1, 1),(-2, 0)]` and `B = [(2, -1), (1, 1)]`. Solve for matrix X:
3X + B + 2A = 0
उत्तर
3X + B + 2A = 0
3X = – B – 2A
X = `(-1)/3(B + 2A)`
= `(-1)/3B - 2/3A`
= `(-1)/3[(2, -1),(1, 1)] - 2/3[(1, 1),(-2, 0)]`
= `[((-2)/3, 1/3),((-1)/3, (-1)/3)] - [(2/3, 2/3),((-4)/3, 0)]`
= `[(-2/3 - 2/3, 1/3 - 2/3),(-1/3 - (-4/3), -1/3 - 0)]`
= `[((-4)/3, (-1)/3),((-1)/3 + 4/3, (-1)/3)]`
= `[((-4)/3, (-1)/3),(3/3, (-1)/3)]`
= `[((-4)/3, (-1)/3),(1, (-1)/3)]`
APPEARS IN
संबंधित प्रश्न
Find x, y if `[(-2,0),(3,1)][(-1),(2x)] + 3[(-2),(1)] = 2[(y),(3)]`
Given `A = [(2, 1),(3, 0)], B = [(1, 1),(5, 2)]` and `C = [(-3, -1),(0, 0)]`; find 2A – 3B + C
Given A = `[(4, 1),(2, 3)]` and B = `[(1, 0),(-2, 1)]`, find A2 – AB + 2B
If A = `[(1, 4),(2, 1)]`, B = `[(-3, 2),(4, 0)]` and C = `[(1, 0),(0, 2)]`, simplify : A2 + BC.
If A = `[(1, 2),(3, 4)]`, B = `[(6, 1), (1, 1)]` and C = `[(-2, -3),(0, 1)]`, find the following and state if they are equal CA + B
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of (R + Q)P
If A = `[(9 , 1),(7 , 8)]` , B = `[(1 , 5),(7 , 12)]`
find matrix C such that 5A + 5B + 2C is a null matrix.
The additive inverse of matrix A + B, where A = `[(4, 2),(7, -2)]` and B = `[(-2, 1),(3, -4)]` is ______.
If A = `[(-3, -7),(0, -8)]` and A – B = `[(6, 4),(-3, 0)]`, then matrix B is ______.
If A = `[(1, 0),(1, 1)]`, B = `[(0, 1),(1, 0)]` and C = `[(1, 1),(0, 0)]`, the matrix A2 + 2B – 3C is ______.
