10 Questions
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|?
They are equal.
What is the value of $\mathbf{m}$?
1
What are the values of $\mathbf{p}$, $\mathbf{q}$, and $\mathbf{r}$ when $\mathbf{p + q + r = 0}$?
0
What is the determinant of the matrix $\mathbf{A}$ when $\mathbf{p = 0}$?
0
What is the determinant of the matrix $\mathbf{A}$ when $\mathbf{p = 1}$, $\mathbf{q = 1}$, and $\mathbf{r = 1}$?
2
Solve the system of equations: $\mathbf{5k + 2l = 2}$ and $\mathbf{2k - l = -1}$.
$k = 0$, $l = 1$
Express $\mathbf{(x-y)(y-z)(z-x)(xy + yz + zx)}$ in terms of $\mathbf{k}$ and $\mathbf{l}$.
$k(x^2 + y^2 + z^2) + l(xy + yz + zx)$
This quiz covers solving equations by representing them as matrix determinants and applying mathematical operations to find the values of the variables. Topics include manipulating determinants, setting them equal to zero, and solving for the unknowns.
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