Home
Class 12
MATHS
(i) Let M={({:(x,x),(x,x):}):x in R -{0}...

(i) Let `M={({:(x,x),(x,x):}):x in R -{0}}` and let `**` be the matrix multiplication. Determine whether M is closed under `**`. If so, examinie the existence of identity, existence of inverse properties for the operation `**` on M.

Promotional Banner

Topper's Solved these Questions

  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise EXERCISE (12.2)|15 Videos

  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise EXERCISE (12.3)|20 Videos

  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise Additional Question Solved|20 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    FULL MARKS|Exercise EXERCISE -4.6|20 Videos

Similar Questions

Explore conceptually related problems

Let M={[{:(,x,x),(,x,x):}}: x in R-{0}} and let * be the matrix multiplication. Determine whether M is closed under *. If so, examine the existence of identify, existence of inverse properties for the operation * on M.

Let M={[{:(,x,x),(,x,x):}}: x in R-{0}} and let * be the matrix multiplication. Determine whether M is closed under *. If so, examine the commutative and associative properties satisfied by * on M.

Let A be Q/{1}. Define * on A by x * y=x+y-xy. Is * binary on A? If so, examine the existence of identity & inverse properties for the operation * on A.

The identify element of {({:(x,x),(x,x):})} x in R, x ne 0} under matrix multiplication is

Let f={(x, x^2/(1+x^(2))), x in R} be a function from R into R. Determine the range of f.

Let {(x ,(x^2)/(1+x^2)):x in R} be a function from R into R Determine the range of f .

Let A be Q/{1}. Define * on A by x * y=x+y-xy. Is * binary on A? If so, examine the commutative and association properties satisfied by * on A.