The system of linear equationsx+λy−z=0λx−y−z=0x+y−λz=0has a non-trivial solution for :
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d. none of these
By using properties of determinants. Show that:
Write the minors and cofactors of each element of the first column of the following matrices and hence evaluate the determinant in each case:
Show that ∣∣b−cc−aa−bc−aa−bb−ca−bb−cc−a∣∣ = 0
If A,B,C are the angles of a non right angled triangle ABC. Then find the value of:
Δ=∣∣a10a22a+b10(a+b)2a+3b∣∣ is divisible by a+b b. a+2b
c. 2a+3b d. a2
Prove that the value of each the following determinants is zero:
Show that ∣sin10o−cos10osin80ocos80o∣=1