Advertisements
Advertisements
Question
Find the values of a and b) if [2a + 3b a - b] = [19 2].
Advertisements
Solution
[2a+3b a-b] = [19 2]
[2a+3b a-b] is 1 x 2 matrix and [19 2] is 1 x 2 matrix
2a + 3b = 19 ......(1)
a - b = 2 ......(2)
⇒ a = 2 + b
Putting the value of a in equation (1)
4 + 2b + 3b = 19 .... (1)
⇒ 5b= 15
⇒ b = 3
From (2)
a = 2+3 = 5
APPEARS IN
RELATED QUESTIONS
Wherever possible, write the following as a single matrix.
`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A . (B – C) = A . B – A . C
Find cofactors of the elements of the matrix A = `[(-1, 2),(-3, 4)]`.
Classify the following matrix :
`|(1 , 1),(0,9)|`
If P = `|(8,5),(7,2)|` find P - Pt
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.
Construct a 2 x 2 matrix whose elements aij are given by aij = 2i – j
A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
Event A: Order of matrix A is 3 × 5.
Event B: Order of matrix B is 5 × 3.
Event C: Order of matrix C is 3 × 3.
Product of which two matrices gives a square matrix.
