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How to read matrices math.
A matrix is a rectangular array of numbers that is usually named by a capital letter.
To transpose a matrix swap the rows and columns.
We will investigate this idea further in the next section but first we will look at basic matrix operations.
How to multiply matrices.
A b c and so on.
We usually denote a matrix by a capital letter.
Each number in the array is called an entry or an element of the matrix.
And there are special ways to find the inverse learn more at inverse of a matrix.
A matrix is usually shown by a capital letter such as a or b.
For example the dimension of the matrix below is 2 3 read two by three because there are two rows and three columns.
The number of columns of the 1st matrix must equal the number of rows of the 2nd matrix.
In matrix a on the left we write a 23 to denote the entry in the second row and the third column.
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One way to remember that this notation puts rows first and columns second is to think of it like reading a book.
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We put a t in the top right hand corner to mean transpose.
The order of a matrix with 3 rows and 2 columns is 3 2 or 3 by 2.
Provided that they have the same size each matrix has the same number of rows and the same number of columns as the.
Matrices often make solving systems of equations easier because they are not encumbered with variables.
In order to identify an entry in a matrix we simply write a subscript of the respective entry s row followed by the column.