Advertisements
Advertisements
Question
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
Advertisements
Solution
`|(2,1) ,(3,2),(1 , 1)|_(3 xx 2) |(1 , -2 , 1),(2 , 1 , 3)|_(2 xx 3)`
`= |(2+2 , -4+1 , 2 + 3),(3 + 4 , -6+2 , 3 + 6),(1 + 2 , -2 + 1 , 1 + 3)|`
`= |(4 , -3 , 5),(7 , -4 , 9),(3 , -1 , 4)|_(3 xx 3)`
APPEARS IN
RELATED QUESTIONS
The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.
If A = `[(8, -3)]` and B = `[(4, -5)]`; find B – A
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find B + C
Wherever possible, write the following as a single matrix.
`[(1, 2),(3, 4)] + [(-1, -2),(1, -7)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A2 – B2 = (A + B) (A – B)
If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|` find BA
If A = `|(3,-2),(-1 , 4)|` , B = `|(2"a"),(1)|` , C = `|(-4),(5)|` , D = `|(2),("b")|` and AB + 2C = 4D then find the values of a and b.
If A = `[(1,2), (1,3)]`, find A2 - 3A
If A = `[(1,2,3), (2,k,2), (5,7,3)]` is a singular matrix then find the value of 'k'.
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
