1 0 0 1 0 0 5 Let C AB where A 2 1 0 B 3 1 0 Determine which

1 0 0 1 0 0 5. Let C AB, where A 2 1 0 ,B 3 1 0 Determine which of following is 0 0 1 0 0 1 FALSE. (a) Rowi (C) Rowi (B) (b) Col3 (C) Col3(B) (c) Row2(C) 32Rowl (B) Rou2(B) (d) Coll (C) Coli (A) 3Col2(A). (e) none of these

Solution

C=

row 1=[1 0 0]

row 2=[5 1 0]

row 3=[0 0 1]

Now

(a) Row 1(C)=Row 1(B), true because Row1(C)=[1 0 0]=Row1(B)

(b) Col3 (C) =Col3 (B), true

(c) Row2 (C)= 2 Row1 (B)+ Row2 (B), true

(d) Col1 (C)= Col1 (A) + 3 Col2 (A), true

(e) False