AP EAMCET202124 Aug 2021Evening ShiftMathematicsMatricesActual

The sum of two lower triangular matrices is always

Options

Aan upper triangular matrix
Ba lower triangular matrix
Ca diagonal matrix
Da scalar matrix

Correct answer

B. a lower triangular matrix

Step-by-step solution

Let lower triangular matrix A= [ array lll a & 0 & 0 p & b & 0 q & r & c array ] and B= [ array ccc a₁ & 0 & 0 p₁ & b₁ & 0 q₁ & r₁ & c₁ array ]A+B= [ array ccc a+a₁ & 0 & 0 p+p₁ & b+b₁ & 0 q+q₁ & r+r₁ & c+c₁ array ] Clearly A+B is also lower triangular matrix.

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