How to Enter a 2x2 Matrix in a TI-83
The TI-83 graphing calculator supports a myriad of matrix functions. In particular, you can use the calculator to perform matrix mathematics, matrix row operations, echelon form conversions and matrix inversion. These are all fundamental matrix calculations for Calculus I and Calculus II, as well as certain science-related fields including physics.
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Entering Matrices
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To enter a matrix, access the "Matrix" menu by pressing the "2nd" key and then pressing the key labeled "x^-1." From there, scroll right and select "Edit." It is on this screen that you can define a matrix up to a size of 99 x 99. After you submit the size, you can then enter values for each particular cell.
Addition and Subtraction
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Matrices may be added and multiplied like any other variables in the TI-83. You must open the "Names" sub-menu from the "Matrix" menu and select a matrix. Next, submit the operator -- either a + or * -- and then follow the original steps to enter another matrix into the equation. Afterward, press enter to see the results of the operation.
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Row Operations
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The TI-83 supports row swaps, row multiplication and row co-efficient multiplication. These functions are available from the "Math" sub-menu as "rowSwap," "*row" and "*row+". The syntax for a swap is "[A], 1, 2", meaning swap rows 1 and 2 of matrix A. The syntax for multiplication is "4, [A], 3", meaning multiply row 3 by 4, and the syntax for the latter is "-4, [A], 1, 2", meaning multiply row 1 by -4 and add the product to row 2.
Echelon Form and Inverse Matrices
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Embedded within the "Math" menu is a function for row echelon form, "ref," and a function for reduced row echelon form, "rref." The syntax for both is simply "A", where "A" refers to the matrix. As for matrix inverses, these can be calculated by submitting a matrix to the main screen and then augmenting it with the "x^-1" function. You will receive an error message if the matrix cannot be inverted.
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