(B) Let $A$ and $B$ be two lower triangular matrices of order $n \times n$.$A$ matrix is lower triangular if all entries above the main diagonal are z

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(B) Let $A$ and $B$ be two lower triangular matrices of order $n \times n$.$A$ matrix is lower triangular if all entries above the main diagonal are zero,i.e.,$a_{ij} = 0$ for all $i Let $C = A + B$. The entries of $C$ are given by $c_{ij} = a_{ij} + b_{ij}$.For any $i Therefore,$c_{ij} = 0 + 0 = 0$ for all $i This implies that the sum $C = A + B$ is also a lower triangular matrix.

Class 12 Mathematics 3 and 4 .Determinants and Matrices Types of matrices, Algebra of matrices

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The sum of two lower triangular matrices is always

AP EAMCET 2021 All AP EAMCET

A
an upper triangular matrix
B
a lower triangular matrix
C
a diagonal matrix
D
a scalar matrix

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3 and 4 .Determinants and Matrices

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The sum of two lower triangular matrices is always

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