Advertisements
Advertisements
Question
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
Advertisements
Solution
P =`|(1 , 2),(3 , 4)|_(2 xx 2)` , Q = `|(5 , 1),(7 , 4)|_(2 xx 2)` R = `|(2 , 1),(4 , 2)|_(2 xx 2)`
Q + R = `|(5 , 1),(7 , 4)| + |(2 , 1),(4 , 2)|`
`= |(7 , 2),(2 , 6)|`
P(Q + R) = `|(1 , 2),(3 , 4)| |(7 , 2),(2 , 6)|`
`= |(7 + 22 , 2 + 12),(21 + 44 , 6 + 24)|`
`= |(29,14),(65,30)|_(2 xx 2)`
APPEARS IN
RELATED QUESTIONS
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A – B)2 = A2 – 2A . B + B2
If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N
If P = `|(8,5),(7,2)|` find P - Pt
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.
Solve the equation x + y = 4 and 2x - y = 5 using the method of reduction.
If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A| |B|.
If a matrix has 8 elements, what are the possible order it can have?
The construction of demand line or supply line is the result of using
