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
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)]`.
Solve the following system of linear equation using matrix method:
`1/x + 1/y +1/z = 9`
`2/x + 5/y+7/z = 52`
`2/x+1/y-1/z=0`
Classify the following matrix :
`|(11 , 3 , 0),(21 , 8 , 4),(15,5,2)|`
Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.
If a matrix has 4 elements, what are the possible order it can have?
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
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.
