Consider the matrix B=\left(\begin{array}{ccc}-1 & -1 & 2 \ 0 & -1 & -1 \ 0 & 0 & -1 )\end{array} The sum of all the entries of the matrix B^{19} is:

NIMCET 2025 Paper

Section: Mathematics

Question : 43 of 120

Marks: +1, -0

Consider the matrix

B={(\table -1 , -1 , 2 ; 0 , -1 , -1 ; 0 , 0 , -1 )}

The sum of all the entries of the matrix

B^{19}

is:

Solution:

B^{19}={(\table -1 , -19 , -133 ; 0 , -1 , -19 ; 0 , 0 , -1 )}

Sum of all entries:

-1-19-133-1-19-1=-174 .

So the answer is:

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