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3 and 4 . determinant and metrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths3 and 4 . determinant and metrices1 Mark
MCQ
If  $A$  and $ B $ are non-singular matrices, then
  • A
    ${(AB)^{ - 1}} = {A^{ - 1}}{B^{ - 1}}$
  • B
    $AB = BA$
  • C
    $(AB)' = A'B'$
  • ✓
    ${(AB)^{ - 1}} = {B^{ - 1}}{A^{ - 1}}$
✓

Answer

Correct option: D.
${(AB)^{ - 1}} = {B^{ - 1}}{A^{ - 1}}$
d
(d)${(AB)^{ - 1}} = {B^{ - 1}}{A^{ - 1}}$.

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