Daily Math · 2026-05-30

Question 1

The determinant of $A = \begin{pmatrix} 3 & 4 \ 1 & 2 \end{pmatrix}$ is:

Accepted Answer

$\det A = 3 \cdot 2 - 4 \cdot 1 = 2$.

Answer

$1$

Answer

$2$

Answer

$5$

Answer

$10$

Question 2

For the operation $x * y = x + y - 3$ on $\mathbb{R}$, the identity element is:

Accepted Answer

$x + e - 3 = x \Rightarrow e = 3$.

Answer

$0$

Answer

$1$

Answer

$3$

Answer

$-3$

Question 3

For every $x \in [-1, 1]$, the value of $\arcsin x + \arccos x$ is:

Accepted Answer

For any $x \in [-1, 1]$, $\arcsin x + \arccos x = \dfrac{\pi}{2}$ (a standard identity, since $\arccos x = \dfrac{\pi}{2} - \arcsin x$).

Answer

$0$

Answer

$\dfrac{\pi}{4}$

Answer

$\dfrac{\pi}{2}$

Answer

$\pi$

Problems & worked solutions