Advertisements
Advertisements
प्रश्न
If A = `|("p","q"),(8,5)|` , B = `|(3"p",5"q"),(2"q" , 7)|` and if A + B = `|(12,6),(2"r" , 3"s")|` , find the values of p,q,r and s.
Advertisements
उत्तर
A = `|("p","q"),(8,5)|_(2 xx 2)` , B = `|(3"p",5"q"),(2"q" , 7)|_(2 xx 2)`
A + B = `|("p" + 3"q" , "q" + 5"q"),(8 + 2"q" ,5 + 7)|`
A + B = `|(4"p" , 6"q"),(8 + 2"q" , 12)|_(2 xx 2)` ..............(1)
But given , A + B = `|(12,6),(2"r" , 3"s")|_(2 xx 2)` ...............(2)
From (1) and (2)
`|(4"p" , 6"q"),(8 + 2"q" , 12)|` = `|(12,6),(2"r" , 3"s")|`
4p = 12
⇒ p = 3
6q = 6
c q = 1
8 + 2q = 2 r
8 + 2 = 2r
⇒ r = 5
12 = 3s
⇒ s = 4
APPEARS IN
संबंधित प्रश्न
Given : `[(x, y + 2),(3, z - 1)] = [(3, 1),(3, 2)]`; find x, y and z.
Given : M = `[(5, -3),(-2, 4)]`, find its transpose matrix Mt. If possible, find M + Mt
Evaluate the following :
`|(1 , 1),(2 , 3)| |(2 , 1),(1 , 4)|`
Evaluate the following :
`|(6 , 1),(3 , 1),(2 , 4)| |(1 , -2 , 1),(2 , 1 , 3)|`
`[(2 ,- 4),(0 ,0),(1 , 7)]`
If a matrix has 8 elements, what are the possible order it can have?
I2 is the matrix ____________.
If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.
A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
