Casio fx-570MS User Manual
Page 39
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– 36 –
3
.
Determine X and Y from X + Y and X – Y.
First, use (X + Y) + (X – Y) = 2X to determine X.
A j 3
(Mat)
1
(A)
+
A j 3
(Mat)
2
(B)
=
1
C
2
- A j 3
(Mat)
4
(Ans)
=
This produces the result X =
2 –1
5 0
.
You can use
[
,
]
,
e
, and
r
to view the other elements of the matrix.
4
.
Input result obtained for X into Matrix C.
A j 1
(Dim)
3
(C)
2
=
2
=
2
=
D
1
=
5
=
0
= t
5
.
Now determine Y from (X + Y) – X = Y.
A j 3
(Mat)
1
(A)
,
A j 3
(Mat)
3
(C)
=
This produces the result Y =
1 3
–2 –1
.
6
.
Now perform the calculation Matrix C
× Matrix C – Matrix Ans × Matrix Ans (= X
2
– Y
2
).
A j 3
(Mat)
3
(C)
K ,
A j 3
(Mat)
4
(Ans)
K =
The above steps show us that X
2
– Y
2
=
4 –2
10 0
.
Matrix Problems