Solving Systems Using Matrix Inverses
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
Card 1
of 36
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
What does it mean for the columns of
A
A
A
if
A
A
A
is invertible?
QUESTION
What is the relationship between
det
(
A
)
\det(A)
det
(
A
)
and the number of solutions to
A
x
⃗
=
b
⃗
A\vec{x}=\vec{b}
A
x
=
b
?
QUESTION
What is the identity matrix
I
3
I_3
I
3
?
Tap to flip before you grade
ANSWER
I
3
=
(
1
0
0
0
1
0
0
0
1
)
I_3=\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}
I
3
=
1
0
0
0
1
0
0
0
1
. The 3x3 identity matrix has 1s on the main diagonal and 0s elsewhere, acting as the multiplicative identity.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card