1.

State, with reason, whether the following are true or false. A, B and C are matrices of order 2×2. (i) A + B = B + A (ii) A - B = B - A (iii) (B. C ) . A = B. (C . A) (iv) ( A + B ) . C = A . C + B . C (v) A. (B -C ) = A. B - A . C (vi) (A - B ) . C = A. C - B . C (vii) A2−B2=(A+B)(A−B) (viii) (A−B)2=A2−2A.B+B2

Answer»

State, with reason, whether the following are true or false. A, B and C are matrices of order
2×2.
(i) A + B = B + A
(ii) A - B = B - A
(iii) (B. C ) . A = B. (C . A)
(iv) ( A + B ) . C = A . C + B . C
(v) A. (B -C ) = A. B - A . C
(vi) (A - B ) . C = A. C - B . C
(vii) A2−B2=(A+B)(A−B)
(viii) (A−B)2=A2−2A.B+B2


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