Casio fx-570MS - Manual (Page 39)

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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