Advertisements
Advertisements
प्रश्न
If A is a 3 × 3 matrix |3A| = k|A|, then write the value of k.
If A is a 3 × 3 matrix,
उत्तर
|3 A | = k |A|
|3 A | = 27|A|
k = 27
संबंधित प्रश्न
In the matrix A = `[(2,5,19,-7),(35,-2, 5/2 ,12), (sqrt3, 1, -5 , 17)]`
The order of the matrix
If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?
Construct a 2 × 2 matrix, `A= [a_(ij)]`, whose elements are given by `a_(ij) = i/j`
Construct a 3 × 4 matrix, whose elements are given by `a_(ij) = 2i - j`
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is ______.
Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k respectively.
If n = p, then the order of the matrix is 7X - 5Z is ______.
The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves Rs 15,000 per month, find their monthly incomes using matrix method. This problem reflects which value?
Write the number of all possible matrices of order 2 x 3 with each entry 1 or 2.
In the matrix A = `[("a", 1, x),(2, sqrt(3), x^2 - y),(0, 5, (-2)/5)]`, write: The order of the matrix A
Construct a2 × 2 matrix where aij = `("i" - 2"j")^2/2`
Construct a2 × 2 matrix where aij = |–2i + 3j|
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is ______.
If A is matrix of order m × n and B is a matrix such that AB′ and B′A are both defined, then order of matrix B is ______.
The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is ____________.
If A is a matrix of order 3 x 4, then each row of A has ____________.
The order of the single matrix obtained from `[(1,-1),(0,2),(2,3)] {[(-1,0,2),(2,0,1)] - [(0,1,23),(1,0,21)]}` is ____________.
If A is a matrix of order m x n and B is a matrix such that AB’ and B'A are both defined, then the order of matrix B is ____________.
If A is an m x n matrix such that AB and BA are both defined, then B is a ____________.
If a matrix has 6 elements, then number of possible orders of the matrix can be ____________.
Consider the following information regarding the number of men and women workers in three factories I, II and III
| MEN WORKERS | WOMEN WORKERS | |
| I | 30 | 25 |
| II | 25 | 31 |
| III | 27 | 26 |
Which of the following represent the above information in the form of a 3 × 2 matrix.
If a matrix has 8 elements, what are the possible order it can have?
The total number of 3 × 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diagonal entries of AAT is 9, is equal to ______.
Let P = `[(1, 0, 0),(3, 1, 0),(9, 3, 1)]` and Q = [qij] be two 3 × 3 martices such that Q – P5 = I3. Then `(q_21 + q_31)/q_32` is equal to ______.
