ACT Math Practice Question #1239 (Hard (34)) | Test Citadel
TC
Test Citadel
ACT Math Difficulty: Hard (34)

Digital ACT Math Practice Question #1239

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

What is the matrix product $\begin{bmatrix} 2 & -1 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} 5 \\ -2 \end{bmatrix}$?
Select Your Answer:
Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

First entry: $2(5) + (-1)(-2) = 12$. Only Choice A and E have 12. Dimensions are $2 \times 1$, so Choice A is immediate.

Masterclass Solution & Distractor Trap Analysis

A $2 \times 2$ matrix multiplied by a $2 \times 1$ matrix produces a $2 \times 1$ matrix. Row 1: $(2)(5) + (-1)(-2) = 10 + 2 = 12$. Row 2: $(3)(5) + (4)(-2) = 15 - 8 = 7$. The product is $\begin{bmatrix} 12 \\ 7 \end{bmatrix}$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

🔒 Citadel Pro Scholar Vault

Unlock Full Solution & 2,600+ Official Drills

Access detailed Socratic steps, trap breakdowns, authentic timed module simulations, and Desmos speed hacks for just $9.99/mo.

Socratic Assistant

Targeted hints without disclosing final solutions.

I am your Socratic tutor. Click one of the quick guidance buttons above or ask a specific question below about a formula or method.