Matrix

You must use the brackets [] and the semicolon ; to define matrices. For example a two by two matrix is shown in the example below. Note that there are two different methods to define matrices with the TI-92.

det()

To find the determinate of a square matrix, use the det() function.

simult()

The simult() function returns a column vector that contains the solutions to a system of simultaneous equations.

Solve the following system of equations.

The cross product and dot product of two lists of dimension 2 or 3 are shown in the example below.

Partial Fractions and Synthetic Division

The expand() function can be used to find a partial fraction decomposition or to synthetically divide two polynomials.

Functions

Use the STO button to define a function variable. After the function is stored, it is defined as a variable in memory. Press 2nd then VAR-LINK to see the variable.

Once the function is defined, it can be evaluated or graphed. To evaluate the function f(2), f(a+1), f(a²), f(a + b) and f(a + Da) enter

Define g(x) = x -1 and find f(xx) + g(xx) (the xx is used instead of x to avoid the circular definition error), f(xx)/g(xx), and f(g(xx))

Piecewise Functions

The when() function can be used to define a piecewise function. To define the function

enter the following and evaluate h(1) and h(-1).

Limits

The limit() function is used for finding function limits. To find the limit of

as x goes to 2 enter,

To find the limit as x goes to 1 from the right or left enter

The last number indicates the direction.

abs()

The abs() function finds the absolute value.