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
If A = `[(8, -3)]` and B = `[(4, -5)]`; find A + B
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
Find x and y from the given equations:
`[(-8, x)] + [(y, -2)] = [(-3, 2)]`
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
Write the negation of the following statements :
(a) Radha likes tea or coffee.
(b) `∃x cc` R such that x + 3 ≥ 10.
Solve the following minimal assignment problem :
| Machines | Jobs | ||
| I | II | III | |
| M1 | 1 | 4 | 5 |
| M2 | 4 | 2 | 7 |
| M3 | 7 | 8 | 3 |
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 8 elements, what are the possible order it can have?
Construct a 2 x 2 matrix whose elements aij are given by aij = i.j
I2 is the matrix ____________.
