1 2 3 01 0 1 0 0 1-2 6 01 0 1 -3 0 1 0 0 01 1-2 -3 0 6, LetA=10010 2 1 0 0 B= 10
ID: 3145006 • Letter: 1
Question
1 2 3 01 0 1 0 0 1-2 6 01 0 1 -3 0 1 0 0 01 1-2 -3 0 6, LetA=10010 2 1 0 0 B= 10310 0 0 0 1 J 0 0 01 Lo 0 0 0 1 J Determine which of the following is TRUE. (a) AB = 4 (b) AC = 14 (c) AD = 14 (d) BC = 4 (e) none of these 7. Determine which of the following is FALSE, where all matrices are is n by n (a) If A is invertible then the elemetary row operations that reduce A to I, also reduce In to A-1 (b) If A is row equivalent to In then A is invertible. (c) (AB)--B-A-1 if A and B are invertible (d) BA CA implies B-C. (e) none of these 8. To find inverse of a matrix E we need to use row operations to reduce the matrix [E L.] Now suppose that [E 12] has been reduced to a certain form. Then we can read off E 1221|and A=101 ,D=102 Determine which of the following is E-1 (a). A (b). B (c). C(d). D (e). none of theseExplanation / Answer
A = [ 1 2 3 0 ; 0 1 0 0 ; 0 0 1 0; 0 0 0 1];
>> A
A =
1 2 3 0
0 1 0 0
0 0 1 0
0 0 0 1
>> B =[1 -2 6 0 ; 0 1 -3 0 ; 0 0 1 0; 0 0 0 1];
>> C =[1 0 0 0 ; 2 1 0 0 ; 0 3 1 0 ; 0 0 0 1];
>> D = [1 -2 -3 0 ; 0 1 0 0 ; 0 0 1 0 ; 0 0 0 1];
B
B =
1 -2 6 0
0 1 -3 0
0 0 1 0
0 0 0 1
>> C
C =
1 0 0 0
2 1 0 0
0 3 1 0
0 0 0 1
>> D
D =
1 -2 -3 0
0 1 0 0
0 0 1 0
0 0 0 1
>> A*B
ans =
1 0 3 0
0 1 -3 0
0 0 1 0
0 0 0 1
>> A*C
ans =
5 11 3 0
2 1 0 0
0 3 1 0
0 0 0 1
A*D
ans =
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
>> B*C
ans =
-3 16 6 0
2 -8 -3 0
0 3 1 0
0 0 0 1
since AD = I
option C) is correct
Please post next questions again as per chegg policy we have to solve first question
Please rate
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.