Advertisements
Advertisements
Question
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`
Advertisements
Solution
If two matrices are equal, then their corresponding elements are also equal.
a = 3
a – b = –1
`\implies` b = a + 1 = 4
b + c = 2
`\implies` c = 2 – b = 2 – 4 = –2
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.
State, whether the following statement is true or false. If false, give a reason.
Transpose of a square matrix is a square matrix.
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A + B = B + A
If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – B + C
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
Evaluate the following :
`|(1 , 1),(2 , 3)| |(2 , 1),(1 , 4)|`
If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|` find BA
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
Write the negation of the following statements :
(a) Radha likes tea or coffee.
(b) `∃x cc` R such that x + 3 ≥ 10.
`[(3),(0),(-1)]`
