Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
A = `|(3,-2),(-1 , 4)|_(2 xx 2)` , B = `|(2"a"),(1)|_(2 xx 1)`
C = `|(-4),(5)|_(2 xx 1)` , D = `|(2),("b")|_(2 xx 1)`
AB = `|(3,-2),(-1 , 4)| |(2"a"),(1)|`
`= |(6"a" - 2),(-2"a" + 4)|_(2 xx 1)`
2C = `|(-8),(10)|`
AB + 2C = `|(6"a" - 2),(-2"a" + 4)| |(-8),(10)|`
`= |(6"a" - 10),(-2"a" + 14)|_(2 xx 1)`
4D = `|(8),(4"b")|`
Given, AB + 2C = 4D
`|(6"a" - 10),(-2"a" + 14)| = |(8) , (4"b")|`
6a - 10 = 8
⇒ 6a=18
⇒ a = 3
- 2a + 14 = 4b
⇒ -2(3 )+ 14 =4 b
⇒ 8 = 4 b
⇒ 2 = b
APPEARS IN
संबंधित प्रश्न
Wherever possible, write the following as a single matrix.
`[(1, 2),(3, 4)] + [(-1, -2),(1, -7)]`
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
Classify the following matrix :
`|(800),(521)|`
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
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?
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = i – 3j
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.
In a matrix, vertical lines are called:
How is the order \[m\times n\] read?
