\r\n A matrix is a collection or ensemble of numbers that obey specific algebraic rules for addition, subtraction and multiplication.\r\n A matrix is typically represented by means of rows and columns. For example: \\(\\mathbf{A}\\), shown below, is a matrix\r\n containing 2 rows and 2 columns.\r\n $$\r\n \\mathbf{A} = \\begin{bmatrix}\r\n 1 & 4 \\\\\r\n -1 & 1 \\\\\r\n \\end{bmatrix}\r\n $$\r\n \\(\\mathbf{B}\\) is a matrix containing 3 rows and 2 columns.\r\n $$\r\n \\mathbf{B} = \\begin{bmatrix}\r\n 1 & 4 \\\\\r\n -1 & 1 \\\\\r\n 3 & 8 \\\\\r\n \\end{bmatrix}\r\n $$\r\n
\r\n\r\n The individual items of a matrix are called its components or elements. Typically an element of matrix \\(\\mathbf{M}\\) that is located\r\n at the \\(i^\\text{th}\\) row and \\(j^\\text{th}\\) column is represented by the symbol \\(M_{ij}\\).\r\n
\r\n\r\n This MagicGraph offers interactive practice problems for understanding matrix components.\r\n
\r\n\n You are given a matrix \\(\\textbf{M}\\).\r\n
Tap on the shuffle button to create different variations of the matrix \\(\\textbf{M}\\) and practice.
\r\n\r\n This MagicGraph offers interactive practice problems to test your knowledge.\r\n
\r\n\n You are given a matrix \\(\\textbf{M}\\).\r\n Hover over the components of the matrix to see its location (i.e. its row and column) and indices.\r\n
\r\nTap on the shuffle button to create different variations of the matrix \\(\\textbf{M}\\) and practice.
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