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CBSE Class 12-science Answered

how to solve the adjoint of 3×3 matrix

Asked by rahulsharmaaps4 | 03 Jan, 2023, 10:46: AM

Expert Answer

Let us do elementary operations on given matrix and unit matrix as shown below

begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 59 69 cell negative 1 end cell end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets cross times A end style

------------------------------

R₃ - 59 R₁

begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 0 69 cell negative 1 end cell end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row cell negative 59 end cell 0 1 end table close square brackets cross times A end style

--------------------------

R₃ - 69R₂

begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 0 0 cell negative 1 end cell end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row cell negative 59 end cell cell negative 69 end cell 1 end table close square brackets cross times A end style

-------------------------------

R₃ × (-1)

begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row 59 69 cell negative 1 end cell end table close square brackets cross times A end style

Inverse of given matrix is

begin mathsize 14px style space open square brackets table row 1 0 0 row 0 1 0 row 59 69 cell negative 1 end cell end table close square brackets end style

Answered by Thiyagarajan K | 03 Jan, 2023, 03:14: PM

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CBSE 12-science - Maths

how to solve the adjoint of 3×3 matrix

Asked by rahulsharmaaps4 | 03 Jan, 2023, 10:46: AM

ANSWERED BY EXPERT

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