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Invertible Square Matrix

"In order to determine if a matrix is an invertible square matrix, or a square matrix with an inverse, we can use determinants. The only matrix with a nonzero determinant is an invertible square matri ...

Inverse Cosine Function

"Since cosine is not a one-to-one function, the domain must be limited to 0 to pi, which is called the restricted cosine function. The inverse cosine function is written as cos^-1(x) or arccos(x). I ...

The Identity Matrix

"When dealing with matrix computation, it is important to understand the identity matrix. We can think of the identity matrix as the multiplicative identity of square matrices, or the one of square ma ...

Graphing Logarithmic Functions

"In science classes we will often find ourselves graphing logarithmic functions to describe situations such as motion or speed over time. When trying to identify these situations as those seen in grap ...

Finding the Inverse

"Once we learn the definition of a function's inverse we learn how to find the algebraic inverse, or how to find the inverse using algebraic methods. There are different methods for finding the invers ...

Definition of Inverse

"The definition of a function can be extended to define the definition of inverse of a function. Along with one to one functions, invertible functions are an important type of function. The definition ...

Proving Inverse Functions

"The definition of a function can be extended to define the definition of an inverse, or an invertible function. It's important to understand proving inverse functions, and the method of proving inver ...

One to One Function

"After learning the definition of a function, we can extend it to define a one to one function. A one to one function has not only one output for every input, but also only one input in the domain for ...

Matrix Algebra

"One of the most commonly used applications of square matrices is solving systems of linear equations. The methods of solving systems of linear equations using matrix algebra are much more efficient t ...

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