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How to Find the Standard Matrix of a Linear Transformation?
There are mainly three ways to find the standard matrix of a linear transformation: directly , using properties of linear transformation and using inverse matrix. We illustrated here how to use those tricks to find the standard matrix of a linear transformation.
How to Determine the Type of Discontinuous Points?
A function is continuous at one point \(x=a\) means \(\lim_{x\to a}f(x)=f(a)\). According to which condition is not satisfied, we can classify the type of discontinuous points.
What are Common Methods to Evaluate Limits?
[latexpage] There are many methods to evaluate limits. The most common methods are: Limits laws L’Hospital’s principle Some elementary methods, such as factoring, rationalization, compare the order of infinity, etc. There are many other methods to evaluate limits such as squeeze theorem, the definition of definite integral, Taylor expansion, etc. But for us, those methods…
How to Determine if a Vector Set is Linearly Dependent or Independent?
There are many ways to determine if a vector set is linearly dependent or independent. The most efficient way is to use the matrix rank. If the rank of the matrix which constructed by using the vectors as its columns equals to the number of the vectors, the set is linearly independent. Otherwise it is…