Worksheets · Precalculus

Precalculus matrix multiplication worksheet

Row times column, one entry at a time. The inner dimensions have to match, and the answer takes the outer ones: a 2x3 times a 3x2 gives a 2x2.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Matrix Multiplication

Date Period

Simplify.

  1. [−866−2−3−6−54−1][−84−810−9−1032−5]
  2. [−111−125−912][1212−1479]
  3. [−5−5−87−104][−44−84−2−48−73]
  4. [−3−12−92−1110−2−54][4119−5−3−122−1−10]
  5. [7−9−310][1−81−6]
  6. [−1272−10−9−8][−71−3154]
  7. [−57−9−481][−8−28−1−58812−11]
  8. [−2−9−1711−10−5310][−3112−118−8−3−121]
  9. [−1−48−1112][−885711−10]
  10. [76−1010−110][−41−1−12]
  11. [8−2−11−118−8][851−3−7−10−106−7]
  12. [−1−3153−4−48−5][−103−1−512−85−18]
  13. [12−10−1−12−511][−108−1−8−7−4]
  14. [57−57352−45][6−912−12−2−8−7−99]
  15. [−1−5−9−1][710−68−8−4]
  16. [116−39−38][17−3−9−11−5]
  17. [−118−1311−5][11−10−7−2−3−7−12−1−3]
  18. [−1031−1−104][−6−8−99−6−69−1211]
  19. [12−5−4][2−410−6]
  20. [−78−59−712][119−116]

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Matrix MultiplicationAnswer keyVersion 1

Date Period

Simplify.

  1. [−866−2−3−6−54−1][−84−810−9−1032−5][142−74−26−3277677−585]
  2. [−111−125−912][1212−1479][−107−76153132]
  3. [−5−5−87−104][−44−84−2−48−73][−644636−3620−4]
  4. [−3−12−92−1110−2−54][4119−5−3−122−1−10][301220783455025−112]
  5. [7−9−310][1−81−6][−2−27−36]
  6. [−1272−10−9−8][−71−3154][912364−24−48−4655−49−5]
  7. [−57−9−481][−8−28−1−58812−11][−39−13311532−2021]
  8. [−2−9−1711−10−5310][−3112−118−8−3−121][108−6247−112215−14−48−101−74]
  9. [−1−48−1112][−885711−10][−20−5235−71535076140−115]
  10. [76−1010−110][−41−1−12][−34−6530−130−6−121]
  11. [8−2−11−118−8][851−3−7−10−106−7][180−12105−32−159−35]
  12. [−1−3153−4−48−5][−103−1−512−85−18][30−4033−8555−61−2589−100]
  13. [12−10−1−12−511][−108−1−8−7−4][−40166281067649−38−117−39]
  14. [57−57352−45][6−912−12−2−8−7−99][−19−14−41−29−11410525−55101]
  15. [−1−5−9−1][710−68−8−4][−473026−71−8258]
  16. [116−39−38][17−3−9−11−5][−4311−63−84−120−36−75−109−31]
  17. [−118−1311−5][11−10−7−2−3−7−12−1−3][−125872471−58−83]
  18. [−1031−1−104][−6−8−99−6−69−1211][965083−4820113]
  19. [12−5−4][2−410−6][22−16−5044]
  20. [−78−59−712][119−116][−165−15−1549−2099]

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

[1234][56]

  1. First row times the column: 1(5) + 2(6) = 17.
  2. Second row times the column: 3(5) + 4(6) = 39.

The answer is [1739].

Where students go wrong

Multiplying position by position, the way addition works. Matrix multiplication is rows against columns, and the order matters: AB and BA are usually different, and one of them may not even exist.

Also called multiplying matrices, matrix products or row by column multiplication.

Questions about these worksheets

Yes. Every matrix multiplication sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Precalculus is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the matrix multiplication questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Multiplying position by position, the way addition works. Matrix multiplication is rows against columns, and the order matters: AB and BA are usually different, and one of them may not even exist.