Q9 of 54 Page 128

if then

Verify: (i) A + B = B + A (ii) A + ( – A) = O = ( – A) + A.

9) given

A =


(i) To verify A + B = B + A


LHS:


A + B =




RHS = B + A


=



Here, LHS = RHS hence proved


(ii) A + ( – A) = 0 = ( – A) + A


– A =


LHS:


= A + (– A)


=




RHS ( – A) + A =






Hence LHS = RHS = 0 proved


More from this chapter

All 54 →
7

Find X and Y if 2X + 3Y = and 3X + 2Y = .

 8

Solve for x and y if

10

If then

verify that A + (B + C) = (A + B) + C.

 11

An electronic company records each type of entertainment device sold at three of their branch stores so that they can monitor their purchases of supplies. The sales in two weeks are shown in the following spreadsheets.


Find the sum of the items sold out in two weeks using matrix addition.