benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Let A and B be 2×2 matrices such that detA=−1 and detB=3. Find det(3AB).

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Let A\mathbf{A} and B\mathbf{B} be 2×22 \times 2 matrices such that detA=−1\det \mathbf{A} = -1 and detB=3.\det \mathbf{B} = 3. Find det(3AB).\det (3 \mathbf{A} \mathbf{B}).
Plain-text mathematical notation (without MathML)
Let A and B be 2×2 matrices such that detA=−1 and detB=3.  Find det(3AB).
Original LaTeX notation
Let $\mathbf{A}$ and $\mathbf{B}$ be $2 \times 2$ matrices such that $\det \mathbf{A} = -1$ and $\det \mathbf{B} = 3.$  Find $\det (3 \mathbf{A} \mathbf{B}).$

level

Level 3

type

Precalculus

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
b42e1b7a-e96d-5198-9da4-1efbd0579818
task_key
precalculus--test--b42e1b7a-e96d-5198-9da4-1efbd0579818
task_revision_id
1
config / split
precalculus / test

Official source

initial import