(b) 2.4178

Divide, and find out the quotient and remainder. Check your answer. (i) 6971 divide 47 (ii) 4178 divide 35 (iii) 36195 divide 153 (iv) 93575 divide 400 (v) 23025 divide 1000 (iv) 16135 divide 875

If A B=A and B A=B , where A and B are square matrices, then B^2=B and A^2=A (b) B^2!=B and A^2=A (c) A^2!=A , B^2=B (d) A^2!=A , B^2!=B

If A and B are square matrices of the same order, then (A+B)(A-B) is equal to A^2-B^2 (b) A^2-B A-A B-B^2 (c) A^2-B^2+B A-A B (d) A^2-B A+B^2+A B

If AB=A and BA=B, where A and B are square matrices,then B^(2)=B and A^(2)=A (b) B^(2)!=B and A^(2)=A( c) A^(2)!=A,B^(2)=B (d) A^(2)!=A,B^(2)!=B

Simplify: a^2b(a-b^2)+a b^2(4a b-2a^2)-a^3b(1-2b)

Prove: |((b+c)^2, a^2, b c) ,((c+a)^2, b^2 ,c a),( (a+b)^2, c^2, a b)|=(a-b)(b-c)(c-a)(a+b+c)(a^2+b^2+c^2) .

if a:b = b:c prove that ((a+b)/(b+c))^2 = (a^2+b^2)/(b^2+c^2) .