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Matrices

Question
CBSEENMA12033022

Evaluate

open square brackets table row 1 1 1 end table close square brackets space open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets space open square brackets table row 4 row 4 row 4 end table close square brackets

Solution
open square brackets table row 1 1 1 end table close square brackets space open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets space open square brackets table row 4 row 4 row 4 end table close square brackets equals open square brackets table row cell 1 plus 0 plus 0 end cell cell 0 plus 1 plus 0 end cell cell 0 plus 0 plus 1 end cell end table close square brackets space open square brackets table row 4 row 4 row 4 end table close square brackets
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open square brackets table row 1 1 1 end table close square brackets space open square brackets table row 4 row 4 row 4 end table close square brackets
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets space 4 plus 4 plus 4 space close square brackets space equals space open square brackets table row 12 end table close square brackets