Question

Find the values of p and q so that the equations 2x+3y+5z=9,7x+3y+2z=8,2x+3y+px=q. (1)No solution, (2)unique solution, (3)infinite solution​

Answer 1

Answer:

`lambda = 5 and mu ne 9`

`lambda = 5 and mu = 9`

λ=9andμ=5

λ=9andμ≠5

Answer :

B

Step-by-step explanation:

A=⎡⎣⎢2723335−2λ⎤⎦⎥andB=⎡⎣⎢98μ⎤⎦⎥

(AdjA)=⎡⎣⎢3λ+6−(7λ+4)1515−3λ2λ−100−2139−15⎤⎦⎥

For inficitely many solutions :

(AdjA)B=0⇒⎡⎣⎢27λ+54+120−24λ−21μ−63λ−36+16λ−80+39μ135+0−15μ⎤⎦⎥

Hence, μ=9andλ=5.