- #1
jtruth914
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Let [itex]B=A^{T}A[/itex]. Show that [itex]b_{ij}[/itex]=[itex]a^{T}_{i}[/itex][itex]a_{j}[/itex].
I have no idea how to approach this problem.
I have no idea how to approach this problem.
I don't understand your notation. Could you please clarify what you've written?jtruth914 said:Let [itex]B=A^{T}A[/itex]. Show that [itex]b_{ij}[/itex]=[itex]a^{T}_{i}[/itex][itex]a_{j}[/itex].
I have no idea how to approach this problem.
The transpose of a matrix is a new matrix that is created by exchanging the rows and columns of the original matrix. This means that the first row of the original matrix becomes the first column of the transposed matrix, the second row becomes the second column, and so on.
The transpose of a matrix A is written as A^{T}.
The transpose of a matrix is useful in many areas of mathematics and science, including linear algebra, statistics, and computer graphics. It can help simplify calculations and solve equations more easily.
A square matrix has an equal number of rows and columns, while its transpose has the rows and columns switched. This means that a square matrix and its transpose have the same dimensions, but their elements are arranged differently.
To calculate the transpose of a matrix, simply write the elements of the original matrix as the elements of the transposed matrix, but switch the rows and columns. For example, if the original matrix has a row of [1 2 3], the transposed matrix will have a column of [1; 2; 3].