Lesson Worksheet: Introduction to Matrices Mathematics

In this worksheet, we will practice identifying matrices and determining the order of a matrix and the position of each of its elements.


Which of the following is the matrix 𝐴=𝑎, where 𝑖=1 and 𝑗=1,2?

  • A[𝑎𝑎]
  • B𝑎𝑎
  • C[𝑎𝑎]
  • D𝑎𝑎


Find the matrix 𝐴=𝑎, with an order of 3×3, whose elements are given by the formula 𝑎=5𝑥+4𝑦.

  • A91317141822172227
  • B91317141822192327
  • C91419131823172227
  • D91419141822192327


Given that 𝐴 is a matrix of order 3×2, where 𝑎=0, 𝑎=𝑎−3, 𝑎=4, 𝑎=12𝑎, 𝑎=8, and 𝑎=14𝑎, determine 𝐴.

  • A054080
  • B054081
  • C084080
  • D500418


Given that 𝐴=−24−7−199𝐵=−732−6−4−8730𝐶=2−5−4,,, find 𝑎, 𝑏, and 𝑐.

  • A𝑎=4, 𝑏=−6, 𝑐=−5
  • B𝑎=9, 𝑏=−6, 𝑐=−5
  • C𝑎=9, 𝑏=3, 𝑐=−5
  • D𝑎=−8, 𝑏=4, 𝑐=−5


Given 𝐴=8−31145−592−1340−7, what is 𝑎?


Given 𝐴=8−31145−592−1340−7, which are the negative entries of 𝐴?

  • A𝑎, 𝑎, 𝑎, 𝑎
  • B𝑎, 𝑎, 𝑎, 𝑎
  • C𝑎, 𝑎, 𝑎, 𝑎
  • D𝑎, 𝑎, 𝑎, 𝑎
  • E𝑎, 𝑎, 𝑎, 𝑎


Given that 𝐴 is a matrix of order 2×2, with 𝑎=7, 𝑎=−10, 𝑎=−9, and 𝑎=2, find the matrix 𝐴.

  • A7−10−92
  • B[7−10−92]
  • C⎡⎢⎢⎣7−10−92⎤⎥⎥⎦
  • D7−102−9
  • E7−9−102


The table below represents the prices of some drinks in a café. The café owner changes the prices of the drinks, so that each drink is now two times its original price. Determine the matrix that represents the new prices of the drinks.

DrinkSmall SizeBig Size
Strawberry Juice 1.5 5.5
Orange Juice 2 8.5
Mango Juice 3.5 9
  • A3.57.5410.55.511
  • B4.516.5625.510.527
  • C1.55.528.53.59
  • D311417718


The given bar chart shows actual and predicted data for several continents about the percent of the population who live in urban areas. Represent this data in a matrix where the rows represent years in order from past to future, and the columns represent the continents in alphabetical order.

  • A0.290.490.600.150.370.510.170.410.540.510.720.780.420.760.840.640.790.87
  • B496015375141545172787684647987
  • C
  • D⎡⎢⎢⎢⎢⎣0.150.370.510.170.410.540.510.720.780.420.760.840.640.790.87⎤⎥⎥⎥⎥⎦
  • E


The coach of a school basketball team recorded the statistics of three players in a tournament as follows: Ethan: 7 matches, 15 shots, and 5 goals; David: 13 matches, 24 shots, and 8 goals; and, James: 16 matches, 23 shots, and 19 goals. Arrange these data in a matrix where the rows represent the players from least goals to most, the first column gives the number of matches, the second column gives the number of shots, and the third column gives the number of goals.

  • A715516231913248
  • B715513238162419
  • C715513248162319
  • D162319132487155

This lesson includes 18 additional questions and 176 additional question variations for subscribers.

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