Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If the points (x, – 2), (5, 2), (8, 8) are collinear, then x is equal to
पर्याय
– 3
`1/3`
1
3
उत्तर
3
APPEARS IN
संबंधित प्रश्न
In the matrix A = `[(8, 9, 4, 3),(- 1, sqrt(7), sqrt(3)/2, 5),(1, 4, 3, 0),(6, 8, -11, 1)]`, write The order of the matrix
In the matrix A = `[(8, 9, 4, 3),(- 1, sqrt(7), sqrt(3)/2, 5),(1, 4, 3, 0),(6, 8, -11, 1)]`, Write the elements a22, a23, a24, a34, a43, a44
If A = `[(sqrt(7), - 3),(- sqrt(5), 2),(sqrt(3), -5)]` then find the transpose of – A
Find the values of x, y and z from the following equation
`[(x + y + z),(x + z),(y + z)] = [(9),(5),(7)]`
Solve for x, y : `[(x^2),(y^2)] + 2[(-2x),(-y)] = [(5),(8)]`
Find the order of the product matrix AB if
| (i) | (ii) | (iii) | (iv) | (v) | |
| Order of A | 3 × 3 | 4 × 3 | 4 × 2 | 4 × 5 | 1 × 1 |
| Order of B | 3 × 3 | 3 × 2 | 2 × 2 | 5 × 1 | 1 × 3 |
Let A = `[(1, 2),(1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, 2)]` Show that (A – B)T = AT – BT
Consider the matrix Aα = `[(cos alpha, - sin alpha),(sin alpha, cos alpha)]` Find all possible real values of α satisfying the condition `"A"_alpha + "A"_alpha^"T"` = I
If A = `[(4, 2),(-1, x)]` and such that (A – 2I)(A – 3I) = 0, find the value of x
Find the matrix A which satisfies the matrix relation `"A"= [(1, 2, 3),(4, 5, 6)] = [(-7, -8, -9),(2, 4, 6)]`
Express the following matrices as the sum of a symmetric matrix and a skew-symmetric matrix:
`[(4, -2),(3, -5)]`
For what value of x, the matrix A = `[(0, 1, -2),(-1, 0, x^3),(2, -3, 0)]` is skew – symmetric
If A and B are symmetric matrices of same order, prove that AB – BA is a skew-symmetric matrix
Choose the correct alternative:
if A = `[(lambda, 1),(-1, -lambda)]`, then for what value of λ, A2 = 0 ?
Choose the correct alternative:
If A = `[(1, 2, 2),(2, 1, -2),("a", 2, "b")]` is a matrix satisfying the equation AAT = 9I, where I is 3 × 3 identity matrix, then the ordered pair (a, b) is equal to
Choose the correct alternative:
If A is a square matrix, then which of the following is not symmetric?
Choose the correct alternative:
If A + I = `[(3, -2),(4, 1)]`, then (A + I)(A – I) is equal to
Let det M denotes the determinant of the matrix M. Let A and B be 3 × 3 matrices with det A = 3 and det B = 4. Then the det (2AB) is
Let A = `((1, -1, 0),(0, 1, -1),(0, 0, 1))` and B = 7A20 – 20A7 + 2I, where I is an identity matrix of order 3 × 3. If B = [bij], then b13 is equal to ______.
