Advertisements
Advertisements
प्रश्न
If A = `[(1, 2),(-3, 4)], "B" = [(0, 1),(-2, 5)] and "C" = [(-2, 0),(-1, 1)]` find A(4B – 3C)
उत्तर
A = `[(1, 2),(-3, 4)], "B" = [(0, 1),(-2, 5)] and "C" = [(-2, 0),(-1, 1)]`
4B - 3C = `4[(0, 1),(-2, 5)] - 3[(-2, 0),(-1, 1)]`
= `[(0, 4),(-8, 20)] - [(-6, 0),(-3, 3)]`
= `[(0 - (-6), 4 - 0),(-8 - (-3), 20 - 3)]`
= `[(0 + 6, 4 - 0),(-8 + 3, 20 - 3)]`
= `[(6, 4),(-5, 17)]`
Now A(4B - 3C) = `[(1, 2),(-3, 4)][(6, 4),(-5, 17)]`
= `[(1 xx 6 + 2(-5), 1 xx 4 + 2 xx 17),(-3 xx + 6 + 4 x (-5), -3 xx 4 + 4 xx 17)]`
= `[(6 - 10, 4 + 34),(-18 - 20, -12 + 68)]`
= `[(-4, 38),(-38, 56)]`.
APPEARS IN
संबंधित प्रश्न
Find x and y if `3[(4, x)] + 2[(y, -3)] = [(10, 0)]`
Given `A = [(1 4),(2 3)] and B = [(-4 -1),(-3 -2)]` Find the matrix C such that C + B = `[(0, 0),(0,0)]`
Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find `A^t - 1/3 A`
If A = `[(0, 2),(5, -2)]`, B =` [(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find AI
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 A + CB
If `[x, y][(x),(y)] = [25]` and `[(-x, y)][(2x),(y)] = [-2]` find x and y if `x, y ∈ Z` (integer)
Given `A = [(2, 1),(3, 0)], B = [(1, 1),(5, 2)]` and `C = [(-3, -1),(0, 0)]`; find A + 2C – B
A = `[(1, 2),(-2, 3)]` and B = `[(-2, -1),(1, 2)], "C" [(0, 3),(2, -1)]`Find A + 2B – 3C
If `2[(3, 4),(5, x)] + [(1, y),(0, 1)] = [(z, 0),(10, 5)]` Find the values of x and y
If `[(a, 3),(4, 2)] + [(2, b),(1, -2)] - [(1, 1),(-2, c)] = [(5, 0),(7, 3)]` Find the value of a,b and c
