Advertisements
Advertisements
Question
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?
Solution
Only B + D is defined since matrices of the same order can only be added.
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 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) = i/j`
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 ______.
If A, B are symmetric matrices of same order, then AB − BA is a ______.
Find the value of k if M = `[(1,2),(2,3)]` and `M^2 - km - I_2 = 0`
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.
If `[(2x, 3)] [(1, 2),(-3, 0)] [(x),(8)]` = 0, find the valof x.
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 [x y z] `[("a","h","g"),("h","b","f"),("g","f","c")] [("x"),("y"),("z")]` 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 ____________.
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 ______.
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 ______.