Advertisements
Advertisements
प्रश्न
Given that A = `[(3, 0),(0, 4)]` and B = `[(a, b),(0, c)]` and that AB = A + B, find the values of a, b and c.
उत्तर
AB = A + B
`[(3, 0),(0, 4)][(a, b),(0, c)] = [(3, 0),(0, 4)] + [(a, b),(0, c)]`
`[(3a , 3b),(0, 4c)] = [(3 + a, b),(0 , 4 + c)]`
3a = 3 + a
2a = 3
a = `(3)/(2)`
3b = b
2b = 0
b = 0
4c = 4 + c
3c = 4
c = `(4)/(3)`.
APPEARS IN
संबंधित प्रश्न
If P = `[(1, 2),(2, -1)]` and Q = `[(1, 0),(2, 1)]`, then compute:
- P2 – Q2
- (P + Q)(P – Q)
Is (P + Q)(P – Q) = P2 – Q2 true for matrix algebra?
If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find A(BA)
Given A = `[(p, 0),(0, 2)]`, B = `[(0, -q),(1, 0)]`, C = `[(2, -2),(2, 2)]` and BA = C2. Find the values of p and q.
Find the positive integers p and q such that :
`[p q][p/q]= [25]`
If A = `[(3, 7),(2, 4)]`, B = `[(0, 2),(5, 3)]` and C = `[(1, -5),(-4, 6)]`. Find AB – 5C.
Given A = `[(2,0), (-1,7)] and 1 = [(1,0), (0,1)]` and A2 = 9A +mI. Find m
Given matrix A = `[(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)]` If AX = B.
Find the matrix 'X'
If `"A" = [(a , b),(c , d)] and "I" = [(1 , 0),(0 , 1)]` show that A2 - (a + d) A = (bc - ad) I.
If B = `[(-4, 2),(5, -1)] and "C" = [(17, -1),(47, -13)]` find the matrix A such that AB = C
Find the values of a and below `[(a + 3, b^2 + 2),(0, -6)] = [(2a + 1, 3b),(0, b^2 - 5b)]`
