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Pure
Matrices
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Matrix transformations
Maths > Pure > Matrices
10 cards
Cards (22)
To divide a matrix by another matrix,
multiply
the
first
matrix by the
inverse
of the
second
matrix.
How do you calculate the determinant?
(
ad
-
bc
)
A * A^-1 =
Identity
matrix
How do you calculate the inverse of a 2x2 matrix?
Swap
the
leading
diagonal, then
multiply
the other 2 elements by
-1.
Then
divide
the whole matrix by the
determinant
What is a singular matrix?
A matrix with the
determinant
of
0
det(
A^-1
) = 1/
det
(
A
)
How do you multiply matrices?
Dive bomb
(
2
1
4
3
)
\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}
(
2
4
1
3
)
x
(
3
2
1
4
)
\begin{pmatrix} 3 & 2\\ 1 & 4 \end{pmatrix}
(
3
1
2
4
)
= (
7
8
15
20
)
Mat(A)
*
identity
= Mat(
A
)
(AB)^-1
=
B^-1
A^-1
(
1
2
3
4
)
\begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix}
(
1
3
2
4
)
^ T
= (1 3 2 4)
What does
transpose
mean?
Swap each row for
corresponding
column (1st row with 1st column)
See all 22 cards
