Answer:

Similarly,

Also find if

Answer:

Answer:

Answer:

Answer:

Therefore

Solving the above two equations

Answer:

Answer:

Answer:

LHS = RHS. Hence proven.

Answer:

Therefore

Therefore

.

Answer:

.

Question 11: State True or False with reason

Answer:

: True > addition of matrices is commutative

: False > subtraction of matrices is not commutative

: True > Multiplication of matrices is associative

: True > Multiplication of matrices is distributive over addition

: True > Multiplication of matrices is distributive over subtraction

: True > Multiplication of matrices is distributive over subtraction

: False > Laws of algebra for factorization is not applicable to matrices

: False > Laws of algebra for factorization is not applicable to matrices