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AP EAMCET20227 Jul 2022Evening ShiftMathematicsDeterminantsActual

Let A= [ array ccc b^2+c^2 & a^2 & a^2 b^2 & c^2+a^2 & b^2 c^2 & c^2 & a^2+b^2 array ] . If a= 6 , b= 4 and c= 2 , then A is

Options

  1. ASymmetric matrix
  2. BSkew-Symmetric matrix
  3. CSingular matrix
  4. DNon-singular matrix

Correct answer

C. Singular matrix

Step-by-step solution

aligned & Given, a= 6 = 1 2 , b= 4 = 1 2 , & c= 2 =0 & |A|= | array lll 1 2 & 1 4 & 1 4 1 2 & 1 4 & 1 2 0 & 0 & 3 4 array | . aligned Here, c₁=2 c₂ |A|=0 A is singular matrix.

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