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Addition and subtraction
Consider a pair of matrices A = [a
subtraction of these two matrices is only possible if they have the same
number of rows and columns. The resulting matrix, C = A ± B = [c
± b
elements c
= a
. Some examples in ALG mode are shown below using
ij
ij
ij
the matrices stored above (e.g., @A22@ + @B22@)
In RPN mode, the steps to follow are:
A22 ` B22`+
A23 ` B23`+
A32 ` B32`+
Translating the ALG examples to RPN is straightforward, as illustrated here.
The remaining examples of matrix operations will be performed in ALG mode
only.
Multiplication
There are different multiplication operations that involve matrices. These are
described next.
Multiplication by a scalar
Multiplication of the matrix A = [a
kA = [c
]
= [ka
]
. In particular, the negative of a matrix is defined by
×
×
ij
m
n
ij
m
n
the operation -A =(-1)A = [-a
matrix by a scalar are shown below.
and B = [b
]
]
×
ij
m
n
ij
m
A22 ` B22`-
A23 ` B23`-
A32 ` B32`-
by a scalar k results in the matrix C =
]
×
ij
m
n
]
. Some examples of multiplication of a
×
ij
m
n
. Addition and
×
n
]
has
×
ij
m
n
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