Let  f (x) = x2  – 5 x + 6  and  A =            1 1 0 2 1 3 2 0 1  , then  f (A) is equal to : (A)                   5 4 4 1 1 10 1 1 3 (B)                   5 4 3 1 1 10 1 1 3 (C)                  5 4 3 0 1 10 0 1 3 (D)      

Asked by vikaskumawat037 | 9th Sep, 2020, 09:58: PM

Expert Answer:

Given: f(x) = x2 - 5x + 6 and A = matrix [2 0 1 // 2 1 3 // 1 -1 0]
straight A equals open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets straight f left parenthesis straight A right parenthesis equals straight A squared minus 5 straight A plus 6 straight A squared equals open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets equals open square brackets table row 5 cell negative 1 end cell 2 row 9 cell negative 2 end cell 5 row 0 cell negative 1 end cell cell negative 2 end cell end table close square brackets straight f left parenthesis straight A right parenthesis equals open square brackets table row 5 cell negative 1 end cell 2 row 9 cell negative 2 end cell 5 row 0 cell negative 1 end cell cell negative 2 end cell end table close square brackets minus open square brackets table row 10 0 5 row 10 5 15 row 5 cell negative 5 end cell 0 end table close square brackets plus open square brackets table row 6 0 0 row 0 6 0 row 0 0 6 end table close square brackets space space space space space space space equals open square brackets table row 1 cell negative 1 end cell cell negative 3 end cell row cell negative 1 end cell cell negative 1 end cell cell negative 10 end cell row cell negative 5 end cell 4 4 end table close square brackets

Answered by Renu Varma | 10th Sep, 2020, 11:51: AM

Concept Videos

This video explains addition of matrices, scalar multiplication of matrices...

Addition of matrices. Scalar multiplication of matrices and multiplication ...

This video is based on Addition of matrices, Scalar multiplication of matri...

Practice Test
All Questions Ask Doubt