 # Linear algebra questions and answers

Recent questions in Linear algebra Sheryl Awuor 2022-03-28

### Find k$k$ such that the following matrix M$M$ is singular.M=⎡⎣⎢−225+k−5933−4114⎤⎦⎥ 1183835381 2022-03-27

2022-03-27

2022-03-20

### In Exercises 3–12, determine whether each set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail. The set of all pairs of real numbers of the form (x, y), where , with the standard operations on . Kristina Mcclain 2022-02-02 Answered

### Given Matrix transformation matrix $A=\left(\begin{array}{ccc}1& 1& 1\\ 0& 2& 2\\ 0& 0& 3\end{array}\right)$ Are there vectors in ${\mathbb{R}}^{3}$ that do not change under this transformation, i.e. such that $T\left(u\right)=u$? Explain why yes or why not. bistandsq 2022-02-02 Answered

### Lets say we have the following matrix $M=\left[\begin{array}{cc}4& 3\\ 4& 3\end{array}\right]$ Then I want to transform all numbers in the matrix with the following function: $f\left(x\right)={\left(x-4\right)}^{2}+2x-4$ What would be the correct notation for this? jelentetvq 2022-02-02 Answered

### From my working, P would equate to$P=\left[\begin{array}{cc}0& -1\\ 1& 0\end{array}\right]$Now to find the transformation shown by ${P}^{3}$, would I have to cube the matrix or is there something that I'm missing here?

Finding detailed linear algebra problems and solutions has always been difficult because the textbooks would never provide anything that would be sufficient. Since it is used not only by engineering students but by anyone who has to work with specific calculations, we have provided you with a plethora of questions and answers in their original form. It will help you to see some logic as you are solving complex numbers and understand the basic concepts of linear Algebra in a clearer way. If you need additional help or would like to connect several solutions, compare more than one solution as you approach your task.