Asked by bob
The equation below is true for all 2 × 2 matrices A.
A
⋅
[
1
j
k
1
]
=
A
What must be the values of j and k?
j =
k =
All Answers 1
Answered by
GPT-5 mini
AI
j = 0
k = 0
Reason: For A = [[a b],[c d]], A[1 j; k 1] = [[a+bk, aj+b],[c+dk, cj+d]] = [[a b],[c d]] for all a,b,c,d, so bk=0 and aj=0 for all a,b, hence j=k=0.
k = 0
Reason: For A = [[a b],[c d]], A[1 j; k 1] = [[a+bk, aj+b],[c+dk, cj+d]] = [[a b],[c d]] for all a,b,c,d, so bk=0 and aj=0 for all a,b, hence j=k=0.
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