Advertisements
Advertisements
प्रश्न
Construct a 2 x 2 matrix whose elements aij are given by `((i + 2j)^2)/(2)`.
उत्तर
We have aij = `((i + 2j)^2)/(2)`
a11 = `((1 + 2 xx 1)^2)/(2) = (9)/(2)`
a12 = `((1 + 2 xx 1)^2)/(2) = (25)/(2)`
a21 = `((2 + 2 xx 1)^2)/(2) = (16)/(2)` = 8
a22 = `((2 + 2 xx 2)^2)/(2)` = 18.
The required matrix
A = `[(a_11 , a_12),(a_21 ,a_22)]`
A = `[(9/2, 25/2),(8,18)]`.
APPEARS IN
संबंधित प्रश्न
Find x and y, if `[(4, 3x),(x, -2)][(5), (1)] = [(y),(8)]`
Find x and y, if `[(x, 0),(-3, 1)][(1, 1),(0, y)] = [(2, 2),(-3, -2)]`
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
Find the matrix A, If B =`[(2,1),(0,1)] and B^2 = B+1/2A`
Given `[(2, 1),(-3, 4)] "X" = [(7),(6)]`.
the order of the matrix X.
If A = `[(3, 7),(2, 4)], "B" = [(0, 2),(5, 3)] and "C" = [(1, -5),(-4, 6)]` Find AB – 5C
If A = `[(-1, 3),(2, 4)], "B" = [(2, -3),(-4, -6)]` find the matrix AB + BA
Choose the correct answer from the given four options :
If A = `[(1, 0),(1, 1)]`, then A2 =
If A = `[(3, 2),(0, 5)] and "B" = [(1, 0),(1, 2)]` find the each of the following and state it they are equal: A2 – B2
