Question

12.If M11 =-40,M12 =-10, and M13 =35, of the determinant A = 11 = 14 3 or uw 3 -5 5 -21 6 2 then the value of A is a. -80 13. Consider the b.60 c.70 d.100​

Answer 1

Given : M₁₁ = -40 , M₁₂ = - 10  , M₁₃ = 35  

$\triangle = \left|\begin{array}{ccc}1&3&-2\\4&-5&6\\3&5&2\end{array}\right|$

To Find : Determinant

Solution:

$\triangle = \left|\begin{array}{ccc}1&3&-2\\4&-5&6\\3&5&2\end{array}\right|$

a₁₁ = 1   , a₁₂ = 3  a₁₃ = -1

Determinant   = $\sum(-1)^{i+j}a_{ij}M_{ij}$

Determinant   = (-1)¹⁺¹a₁₁M₁₁  +(-1)¹⁺² a₁₂M₁₂ + (-1)¹⁺³a₁₃M₁₃

= 1 (-40) - 3(-10) -2(35)

= -40 + 30 - 70

= -80

Determinant is -80

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