Advertisements
Advertisements
Question
If A = `|(1,3),(3,2)|` and B = `|(-2,3),(-4,1)|` find AB
Advertisements
Solution
A = `|(1,3),(3,2)|_(2 xx 2)` B = `|(-2,3),(-4,1)|_(2 xx 2)`
AB = `|(1,3),(3,2)| |(-2,3),(-4,1)|`
`= |(-2-12 , 3 + 3),(-6-8 , 9 + 2)| = |(-14 , 6),(-14 , 11)|_(2 xx 2)`
APPEARS IN
RELATED QUESTIONS
State, whether the following statement is true or false. If false, give a reason.
The matrices A2 × 3 and B2 × 3 are conformable for subtraction.
If A = `[(8, -3)]` and B = `[(4, -5)]`; find A + B
Wherever possible, write the following as a single matrix.
`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
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.
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|` find BA
Solve the following minimal assignment problem :
| Machines | Jobs | ||
| I | II | III | |
| M1 | 1 | 4 | 5 |
| M2 | 4 | 2 | 7 |
| M3 | 7 | 8 | 3 |
Construct a 2 x 2 matrix whose elements aij are given by aij = 2i – j
Suppose determinant of a matrix Δ = 0, then the solution
