Advertisements
Advertisements
प्रश्न
Choose the correct answer from the given alternatives in the following question:
If A = `[(1,2),(3,4)]`, and A (adj A) = kI, then the value of k is
पर्याय
2
- 2
10
- 10
उत्तर
- 2
APPEARS IN
संबंधित प्रश्न
Find the co-factor of the element of the following matrix.
`[(1,-1,2),(-2,3,5),(-2,0,-1)]`
If A = `[(1,-1,2),(3,0,-2),(1,0,3)]` verify that A (adj A) = (adj A) A = | A | I
Find the inverse of the following matrix (if they exist):
`[(2,-3),(5,7)]`
Find the inverse of the following matrix (if they exist):
`[(3,-10),(2,-7)]`
Choose the correct answer from the given alternatives in the following question:
If A = `[("cos"alpha,-"sin"alpha),("sin"alpha,"cos"alpha)]`, then A-1 = _____
Find matrix X, if AX = B, where A = `[(1, 2, 3),(-1, 1, 2),(1, 2, 4)] "and B" = [(1),(2),(3)]`.
Fill in the blank :
If A = `[(2, 1),(1, 1)] "and" "A"^-1 = [(1, 1),(x, 2)]`, then x = _______
Check whether the following matrices are invertible or not:
`[(1, 2, 3),(2, 4, 5),(2, 4, 6)]`
A = `[(cos alpha, - sin alpha, 0),(sin alpha, cos alpha, 0),(0, 0, 1)]`, then A−1 is
If A = `[(2, 2),(-3, 2)]` and B = `[(0, -1),(1, 0)]`, then find the matrix (B−1 A−1)−1.
If A = `[(1, 2),(3, -2),(-1, 0)]` and B = `[(1, 3, 2),(4, -1, 3)]` then find the order of AB
If A = `[(-1),(2),(3)]`, B = `[(3, 1, -2)]`, find B'A'
If A = `[(0, 1),(2, 3),(1, -1)]` and B = `[(1, 2, 1),(2, 1, 0)]`, then find (AB)−1
Find the adjoint of matrix A = `[(2, 0, -1),(3, 1, 2),(-1, 1, 2)]`
Find the adjoint of the matrix A = `[(2,3),(1,4)]`
Find the inverse of the following matrix:
`[(1,2,3),(0,2,4),(0,0,5)]`
If A = `[(2,3),(1,-6)]` and B = `[(-1,4),(1,-2)]`, then verify adj (AB) = (adj B)(adj A)
Find m if the matrix `[(1,1,3),(2,λ,4),(9,7,11)]` has no inverse.
Solve by matrix inversion method:
2x – z = 0; 5x + y = 4; y + 3z = 5
The inverse matrix of `((4/5,(-5)/12),((-2)/5,1/2))` is
If A = `[(a,b),(c,d)]` such that ad - bc ≠ 0 then A-1 is
If A and B non-singular matrix then, which of the following is incorrect?
If A = `[(2,3),(1,2)]`, B = `[(1,0),(3,1)]`, then B-1A-1 = ?
If A = `[(2, 0, -1), (5, 1, 0), (0, 1, 3)]` and A−1 = `[(3, -1, 1), (α, 6, -5), (β, -2, 2)]`, then the values of α and β are, respectively.
If [abc] ≠ 0, then `(["a" + "b b" + "c c" + "a"])/(["b c a"])` = ____________.
If A is non-singular matrix and (A + l)(A - l) = 0 then A + A-1 = ______.
If a 3 × 3 matrix A has its inverse equal to A, then A2 = ______
If A2 - A + I = 0, then A-1 = ______.
If `A = [[-3,1],[-4,3]]` and A-1 = αA, then α = ______.
If A, B are two square matries, such that AB = B, BA = A and n ∈ N then (A + B)n =
Find the inverse of the matrix A by using adjoint method.
where A = `[(-3, -1, 1),(0, 0, 1),(-15, 6, -6)]`
If matrix P = `[(0, -tan (θ//2)),(tanθ//2, 0)]`, then find (I – P) `[(cosθ, -sinθ),(sinθ, cosθ)]`
If A = `[(x, 1),(1, 0)]` and A = A–1, then x = ______.
The inverse of the matrix `[(1, 0, 0),(3, 3, 0),(5, 2, -1)]` is ______.
If A = `[(2, 3),(4, 5)]`, show that A2 – 7A – 2I = 0