Advertisements
Advertisements
प्रश्न
Construct a 2 × 2 matrix, `A = [a_(ij)]` whose elements are given by `a_(ij) = (1 + 2j)^2/2`
उत्तर
We have aij = `((i + 2j)^2)/(2)`
a11 = `((1 + 2 xx 1)^2)/(2) = (9)/(2)`
a12 = `((1 + 2 xx 1)^2)/(2) = (25)/(2)`
a21 = `((2 + 2 xx 1)^2)/(2) = (16)/(2)` = 8
a22 = `((2 + 2 xx 2)^2)/(2)` = 18.
The required matrix
A = `[(a_11 , a_12),(a_21 ,a_22)]`
A = `[(9/2, 25/2),(8,18)]`.
APPEARS IN
संबंधित प्रश्न
Write the number of all possible matrices of order 2 × 2 with each entry 1, 2 or 3.
If A is a 3 × 3 matrix |3A| = k|A|, then write the value of k.
In the matrix A = `[(2,5,19,-7),(35,-2, 5/2 ,12), (sqrt3, 1, -5 , 17)]`
The order of the matrix
In the matrix A = `[(2,5,19,-7),(35,-2, 5/2 ,12), (sqrt3, 1, -5 , 17)]`
Write the number of elements,
In the matrix A = `[(2,5,19,-7),(35,-2, 5/2 ,12), (sqrt3, 1, -5 , 17)]`
Write the elements a13, a21, a33, a24, a23
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) = 1/2 |-3i + j|`
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 ______.
If A, B are symmetric matrices of same order, then AB − BA is a ______.
Find matrix A such that `((2,-1),(1,0),(-3,4))A = ((-1, -8),(1, -2),(9,22))`
Find the matrix X for which:
`[(5, 4),(1,1)]` X=`[(1,-2),(1,3)]`
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.
If `[(2x, 3)] [(1, 2),(-3, 0)] [(x),(8)]` = 0, find the valof x.
Construct a2 × 2 matrix where aij = `("i" - 2"j")^2/2`
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 ____________.
The number of all the possible matrices of order 2 x 2 with each entry 0, 1, or 2 is ____________.
`[(2,0,3),(5,1,0),(0,1,-1)]`
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 ____________.
Given that matrices A and B are of order 3 × n and m × 5 respectively, then the order of matrix C = 5A + 3B 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 ____________.
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 ______.
If A is a 2 × 3 matrix such that AB and AB' both are defined, then the order of the matrix B is ______.
