Advertisements
Advertisements
Question
Write the number of all possible matrices of order 2 × 2 with each entry 1, 2 or 3.
Solution
As matrices is of order 2 × 2, so there are 4 entries possible.
Each entry has 3 choices that are 1, 2 or 3
So, number of ways to make up such matrices are 3 × 3 × 3 × 3 i.e, 34 times or 81 times.
APPEARS IN
RELATED QUESTIONS
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)]`
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?
Construct a 2 × 2 matrix, `A = [a_(ij)]` whose elements are given by `a_(ij) = (1 + 2j)^2/2`
Construct a 3 × 4 matrix, whose elements are given by `a_(ij) = 1/2 |-3i + 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.
The restrictions on n, k and p so that PY + WY will be defined are ______.
Find the value of k if M = `[(1,2),(2,3)]` and `M^2 - km - I_2 = 0`
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?
If a matrix has 5 elements, write all possible orders it can have.
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 the possible matrices of order 2 x 2 with each entry 0, 1, or 2 is ____________.
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 ____________.
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 ____________.
The order of set A is 3 and that of set B is 2. What is the number of relations from A to B?
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 ______.
