Advertisements
Advertisements
प्रश्न
Find matrix A such that `((2,-1),(1,0),(-3,4))A = ((-1, -8),(1, -2),(9,22))`
उत्तर
Given
`[(2,-1),(1,0),(-3,4)]A = [(-1, -8),(1, -2),(9,22)]`
A should be 2 x 2 order
Let A = `[(a,b),(c ,d)]`
Now
`[(2,-1),(1,0),(-3,4)][(a,b),(c,d)] = [(-1,-8),(1,-2),(9,22)]`
By solving and comparing, we get
2a - c = 1....(i)
2b - d = -8....(ii)
a = 1....(iii)
b = -2...(iv)
sub a= 1 in (i)
c = 3
and sub b = -2 in (iii)
d = 4
so A matrix
A = `[(1,-2),(3,4)]`
संबंधित प्रश्न
In the matrix A = `[(2,5,19,-7),(35,-2, 5/2 ,12), (sqrt3, 1, -5 , 17)]`
Write the number of elements,
If a matrix has 24 elements, what are the possible order it can have? What, if it has 13 elements?
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 = [aij], whose element is given by `a_(ij) = (i+j)^2/2`
Construct a 2 × 2 matrix, `A = [a_(ij)]` whose elements are given by `a_(ij) = (1 + 2j)^2/2`
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.
The restrictions on n, k and p so that PY + WY will be defined are ______.
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.
Construct a matrix A = [aij]2×2 whose elements aij are given by aij = e2ix sin jx.
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 = |–2i + 3j|
If A is a matrix of order 3 x 4, then each row of A has ____________.
The number of all the possible matrices of order 2 x 2 with each entry 0, 1, or 2 is ____________.
`[(0,-1,1),(2,-3,4),(3,-3,4)]`
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 matrix has 6 elements, then number of possible orders of the matrix can be ____________.
Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is ____________.
The order of set A is 3 and that of set B is 2. What is the number of relations from A to B?
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 ______.
