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
State, whether the following statement is true or false. If false, give a reason.
If A and B are two matrices of orders 3 × 2 and 2 × 3 respectively; then their sum A + B is possible.
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
If B = `|(15 , 13),(11,12),(10,17)|` , find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.
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 = `[(1,0,0),(2,1,0),(3,3,1)]` then find A-1 by using elementary transformation .
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
The construction of demand line or supply line is the result of using
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M 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.
