Advertisements
Advertisements
Question
If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible:
Options
A + B
A – B
AB
BA
Advertisements
Solution
AB
Explanation:
Given A is a matrix of order 2 × 2
And B is a matrix of order 2 × 1
Since, No. of columns in B ≠ No. of rows in A
`\implies` BA does not exists.
Further, A + B and A – B does not exists
Since, A and B are not of the same order
Since, No. of columns in A
= No. of rows in B = 2
`\implies` AB exists
RELATED QUESTIONS
Wherever possible, write the following as a single matrix.
`[(1, 2),(3, 4)] + [(-1, -2),(1, -7)]`
Evaluate:
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A – B) . C = A . C – B . C
If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A| |B|.
`[(2 ,- 4),(0 ,0),(1 , 7)]`
`[(0, 0, 0),(0, 0, 0)]`
The construction of demand line or supply line is the result of using
I2 is the matrix ____________.
