Advertisements
Advertisements
Question
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is ______.
Options
9
27
81
512
Solution
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is 512.
Explanation:
Since each element aij can be filled in two days ways (with either '2' or '0'), total number of possible matrices is 29 i.e., 512.
APPEARS IN
RELATED QUESTIONS
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)]`
Write the elements a13, a21, a33, a24, a23
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 = [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) = i/j`
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|`
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))`
If a matrix has 5 elements, write all possible orders it can have.
Write the number of all possible matrices of order 2 x 3 with each entry 1 or 2.
If A = `[(2, 3),(1, 2)]`, B = `[(1, 3, 2),(4, 3, 1)]`, C = `[(1),(2)]`, D = `[(4, 6, 8),(5, 7, 9)]`, then which of the sums A + B, B + C, C + D and B + D is defined?
If `[(2x, 3)] [(1, 2),(-3, 0)] [(x),(8)]` = 0, find the valof x.
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`
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 ______.
If A is a matrix of order 3 x 4, then each row of A has ____________.
`[(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 ____________.
Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is ____________.
If a matrix has 8 elements, what are the possible order it can have?
If A is a 2 × 3 matrix such that AB and AB' both are defined, then the order of the matrix B is ______.