Matrix Calculations (Matrix); Matrix Answer Memory; Assigning And Editing Matrix Variable Data - Casio fx-115ES PLUS User Manual

/
x"-2r-x+2=0
(!i!!J
(ID(EON) I!J (aX' + bX" + eX + d
=
0)
1 EJIE)2EJIE) 1 EJ2EJEJ
~
~
(X,=) -1
(X>=) 2
(X,:) 1
r MatrixCaICulationsjH~TRI~L ..: :1
Use the MATRIXMode to perform calculations involving matrices of up to 3
rows by 3 columns. To perform a matrix calculation, you first assign data to
special matrix variables (MalA, MatB, Mate), and then use the variables in
the calculation as shown in the example below.
h
Toassign[~ :]toMalAand[_; -~]toMatB,andthenperform
the following calculations:
[
2 1
] x [
2 -1
]
(MalAxMatB),
1 1 -1 2
[
2 1
]
+
[
2 -1
]
(MalA+MatB)
1 1 -1 2
1. Press ~ [!) (MATRIX) to enter the MATRIX Mode.
2. Press [D (MalA) rn (2x2).
.
This will display the Matrix Ednor for input
of the elements of the 2 x 2 matrix you
specified for MatA.
0]
3. Input the elements of MalA: 2 EJ 1 EJ 1 EJ 1 EJ.
4. Perform the following key operation: I!!!II!J (MATRIX) (II (Data)
(II (MatB)rn(2x2).
.
This will display the Matrix Editor for input of the elements of the 2 x 2
matrix you specified for MatB.
5. Input the elements of MatB: 2 EJ 1BJ1 EJ 1BJ1 EJ 2 EJ.
6. Press @ to advance to the calculation screen, and perform the first
calculation (MatAxMatB): I!iiiII!J (MATRIX)!IJ (MalA) I2D I!!!II!J(MA TRIX)
I!J (MatB) EJ.
.
This will display1he MalAns screen with the calculation results.
'..Ii;;;;;;;;;;;:MAl mD
i
"Ans" S~ndS tor
~
1-;
I] "MalAns.
01 3
MAIm
MatAxMatll
Note: "MalAns" stands for "Matrix Answer Memory". See "Matrix Answer
Memory" for more information.
7. Perform the next calculation (MatA+MatB): @ I!!!I !II (MATRIX)
!IJ (MalA) IE I!!!II!J (MATRIX) !II (MatB) EJ.
MAT m
MatA+MatEl
4
MAT m
..1-,
~I 1-0
o
E-37
Matrix Answer Memory
Whenever the result of a calculation executed in the MATRIX Mode is a
matrix, the MalAns screen will appear with the result. The resull also will be
assigned to a variable named "MalAns".
The MatAns variable can be used in calculations as described below.
.
To insert the MalAns variable into a calculation, perform the following
key operation: I!!!II!J(MATRIX)[!)(MalAns).
.
Pressing anyone of the following keys while the MatAns screen is
displayed willswitch automatically to the calculation screen: IE, EJ, IXJ,
~,~,I£I, 1!!!I~(x"). The calculation screen will show the MalAns
variable followed by the operator or function for the key you preSSed.
Assigning and Editing Matrix Variable Data
Important: The following operations are not supported by the Matrix Editor.
1M3,I!!!J 1M3 ( M-), I!!!I §(STO). Pol, Rec, +R, and multi-statements also
cannot be input with the Matrix Editor.
To assign new data to a matrix variable:
1. Press I!!!I!II (MATRIX)CD(Din), and then, on the menu that appears,
select the matrix variable to which you want to assign data.
2. On tha next menu that appears, select dimension (mxn).
3. Use the Matrix Editor that appears to input the elements of the matrix.
o
To assign [
1 0 -1
] to MaIC
0-1 1
l!!jJ I!J(MATRIX)
I
e
CD(Dim)!IJ(MatC) 1!J(2x3)
[
1 EJOEJIEI1 EJO§)IE) 1 EJ1 EJ
-
Y 1IIIi\]
MATm
I
D
To edit the elements of a matrix variable:
1. Press I!!!II!J(MATRIX)(II(Data), and then, on the menu that appears,
select the matrix variable you want to edit.
2. Use the Matrix Editor that appears to edit the elements of the matrix. .
Move the cursor to the cell that contains the element you want to change,
input the new value, and then press EJ.
To copy matrix variable (or MalAns) contenta:
1. Use the Matrix Editor to display the matrix you want to copy.
.
If you want to copy MatA, for example, perform the following key
operation: I!!!II!J(MATRIX)(II(Data)[D(MalA).
.
If you want to copy MalAns contents, perform the following to display the
MalAns screen: @ I!!!II!J (MATRfX) [!) (MalAns) EJ.
2. Press I!!!I ~(STO), and then perform one olthe following key operations
to specify the copy destination: IE)(MalA), G(MatB), or I!i)(MatC).
. This will display the Matrix Editor with the contents of the copy
destination.
Matrix Calculation Examples
.
[
2 ,
]
[
2 -1
]
A.
The following examples use MalA
=
1 1 and MatB = -1 2 from £..1,
and MatC = [6 _~ -:] from~. You can input a matrix variable into a key
operation by pressing I!!!II!J (MATRIX) a nd then pressing one of the
following numberkeys: !IJ(MalA),I!J(MatB), (ID(MaIC).
1
E~ I