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Algebra 2 Matrices Jeopardy

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Matrix Basics
Addition & Scalars
Matrix Products
Determinants
Systems & Inverses
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An Algebra 2 matrix review covering dimensions, addition, scalar multiplication, matrix products, determinants, and systems. This is a Grades 10–12 Math review game in a Jeopardy-style format: a teacher puts the board on one screen, teams pick clues by point value, and the class answers out loud — no student devices or accounts needed. Categories: Matrix Basics, Addition & Scalars, Matrix Products, Determinants, Systems & Inverses.

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Questions in this game

A peek at what's on the board — 5 categories and one sample clue from each. Answers stay hidden until you open them, so the game still works.

  • Matrix Basics

    A matrix with 3 rows and 4 columns has these dimensions.

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    3 × 4

    +4 more clues in this category

  • Addition & Scalars

    Add [[1,2],[3,4]] + [[5,6],[7,8]].

    Show answer

    [[6,8],[10,12]]

    +4 more clues in this category

  • Matrix Products

    A 2×3 matrix can multiply a 3×4 matrix to produce this size.

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    2 × 4

    +4 more clues in this category

  • Determinants

    For [[a,b],[c,d]], the determinant is this expression.

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    ad - bc

    +4 more clues in this category

  • Systems & Inverses

    A matrix equation AX=B can be solved by multiplying both sides by this when it exists.

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    A inverse

    +4 more clues in this category

Board content

Matrix Basics

$100 — A matrix with 3 rows and 4 columns has these dimensions.
3 × 4
$200 — In a matrix, a horizontal list of entries is called this.
a row
$300 — In a matrix, a vertical list of entries is called this.
a column
$400 — Two matrices can be added only if they have the same these.
dimensions
$500 — The entry a₂₃ is located in this row and column.
row 2, column 3

Addition & Scalars

$100 — Add [[1,2],[3,4]] + [[5,6],[7,8]].
[[6,8],[10,12]]
$200 — Subtract [[7,5],[2,9]] - [[3,1],[4,6]].
[[4,4],[-2,3]]
$300 — Multiply [[2,-1],[0,3]] by scalar 4.
[[8,-4],[0,12]]
$400 — If A+B=C, then B can be written this way.
B = C - A
$500 — Multiply scalar -2 by [[3,4],[-1,5]].
[[-6,-8],[2,-10]]

Matrix Products

$100 — A 2×3 matrix can multiply a 3×4 matrix to produce this size.
2 × 4
$200 — If A is 3×2 and B is 4×3, the product AB is this.
undefined
$300 — Compute [2,3] · [4,5] as a row-by-column dot product.
23
$400 — The identity matrix acts like this number in ordinary multiplication.
1 — Matrix Products
$500 — Matrix multiplication is generally not this property: AB does not always equal BA.
commutative

Determinants

$100 — For [[a,b],[c,d]], the determinant is this expression.
ad - bc
$200 — Find det [[3,2],[1,4]].
10
$300 — A 2×2 matrix with determinant 0 is this.
singular
$400 — A square matrix is invertible only if its determinant is not this.
zero — Determinants
$500 — Find det [[5,-1],[2,3]].
17

Systems & Inverses

$100 — A matrix equation AX=B can be solved by multiplying both sides by this when it exists.
A inverse
$200 — The augmented matrix for a system includes coefficients and these.
constants
$300 — Row swapping is one of the allowable operations in this method.
Gaussian elimination
$400 — Reducing an augmented matrix to RREF helps reveal this.
the solution set
$500 — If a system reduces to a row [0 0 | 5], the system has this many solutions.
no solution

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