Matrix:
A rectangular array of entries formed by rows and columns. In mathematics, square(n x n) or rectangular (m x n) which is used to find the result of that array. Something is developed within the enclosure. Matrix plural form was matrices. For adding, subtracting or multiplying in the matrix we have specific rules.The normal form of a matrix is used for the operations.
Looking out for more help on Transpose of a Matrix in algebra by visiting listed websites.
Normal form of a matrix:
matirx
this is the normal form of a matrix.
The horizontal lines in the matrix denotes rows and vertical lines denotes columns.
The matrix with m rows and n columns Is known as m by n matrix. M and N are called as dimensions.
The places where the number present in the matrix are called as entries.
The row number are denoted by i and the column number are denoted by j so we say A matrix as
A[i,j] or aij.
Where we write as
matirx
Example Problems for normal form of a matrix:
Example 1:
The matrix
`[[2,3],[4,5]]`
is a 2 X 2 matrix. The matrix m = 2rows and n = 2columns.
The element A[2,2].
Example 2:
The matrix
`[[8,6,9],[8,7,9]]`
is a 2 x 3 matrix. The matrix m = 2 rows and n = 3 columns.
The element A[2,3].
Operation using normal form of a matrix:
Operation using normal form of a matrix:
1) Addition
2) Subtraction
3) Multiplication
Addition:
The two matrices is
`[[2,3,4],[3,5,6]]` + `[[3,4,2],[2,0,1]]` = `[[2+3,3+4,4+2],[3+2,5+0,6+1]]`
= `[[5,7,6],[5,5,7]]`
so the two matirces have the same dimension. A + B = B + A.
Subtraction:
The two matrices is
`[[2,3],[4,5]]` - `[[1,2],[3,4]]` = `[[2-1,3-2],[4-3,5-4]]`
=`[[1,1],[1,1]]`
so the two matrices has the same dimension A - B = B - A.
My forthcoming post is on Multiple Regression R and linear polynomials will give you more understanding about Algebra.
Multiplication:
matrix
`[[2,5],[5,5]]` .`[[3,4],[2,6]]` = `[[2.3+5.2, 2.4+5.6],[5.3+5.2,5.4+5.6]]`
=`[[6+10,8+30],[15+10,20+30]]`
=`[[16,38],[25,50]]` .
No comments:
Post a Comment