Advertisements
Advertisements
प्रश्न
If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible:
विकल्प
A + B
A – B
AB
BA
Advertisements
उत्तर
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
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
A column matrix has many columns and only one row.
Given : `[(x, y + 2),(3, z - 1)] = [(3, 1),(3, 2)]`; find x, y and z.
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
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.
(B . C) . A = B . (C . A)
Classify the following matrix :
`|(1 , 1),(0,9)|`
Find the values of a, b, c and d, if `|("a + 3b", 3"c" + "d"),(2"a" - "b" , "c" - 2"d")| = |(5 , 8),(3 , 5)|`
If A = `|(1,9,4),(5 , 0 , 3)|` find A'
If A = `|("p","q"),(8,5)|` , B = `|(3"p",5"q"),(2"q" , 7)|` and if A + B = `|(12,6),(2"r" , 3"s")|` , find the values of p,q,r and s.
If `"A" = [(1,2,-3),(5,4,0)] , "B" = [(1,4,3),(-2,5,0)]`, then find 2A + 3B.
