Solving Equations using Matrix Determinants
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Questions and Answers

What is the value of |𝐴| when x = y?

0

What is the value of |𝐴| when y = z?

0

What is the value of |𝐴| when z = x?

0

What is the relationship between (𝑥 − 𝑦)(𝑦 − 𝑧)(𝑧 − 𝑥) and |𝐴|?

<p>They are equal.</p> Signup and view all the answers

What is the value of $\mathbf{m}$?

<p>1</p> Signup and view all the answers

What are the values of $\mathbf{p}$, $\mathbf{q}$, and $\mathbf{r}$ when $\mathbf{p + q + r = 0}$?

<p>0</p> Signup and view all the answers

What is the determinant of the matrix $\mathbf{A}$ when $\mathbf{p = 0}$?

<p>0</p> Signup and view all the answers

What is the determinant of the matrix $\mathbf{A}$ when $\mathbf{p = 1}$, $\mathbf{q = 1}$, and $\mathbf{r = 1}$?

<p>2</p> Signup and view all the answers

Solve the system of equations: $\mathbf{5k + 2l = 2}$ and $\mathbf{2k - l = -1}$.

<p>$k = 0$, $l = 1$</p> Signup and view all the answers

Express $\mathbf{(x-y)(y-z)(z-x)(xy + yz + zx)}$ in terms of $\mathbf{k}$ and $\mathbf{l}$.

<p>$k(x^2 + y^2 + z^2) + l(xy + yz + zx)$</p> Signup and view all the answers

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