Let A be an m x n matrix with m SolutionAns Two mxn matrices

Solution

Ans-

Two mxn matrices A = (a
ij
) and B = (b
ij
The mxn matrices A and B are added entry by entry.
If A = (a
ij
) are equal, if they agree entry by entry.
) and r is a real number, then the scalar multiple of r and A is the matrix

ij
).
:::; A
k
are mxn matrices and c
1
; c
2
; :::; c
are real numbers, then an expression of the form
c
1
A
1
linear combination of the A\'s with coecients c
The transpose of the mxn matrix A = (a
+ c
2
k
A
2
+ + c
ij
1
; c
2
k
A
; :::; c
k
k
.
) is the nxm matrix A
T
= (a
ji
).