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Lesson Worksheet: Introduction to Matrices Mathematics • 10th Grade

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

Q1:

Fill in the blank: The element of matrix 𝐴, located in the first column and second row, has an index notation .

  • A𝑎
  • B𝑎
  • C𝑎
  • D𝑎
  • E𝑎

Q2:

How many elements are there in a matrix of order 9×7?

Q3:

Given 𝐴=8−31145−592−1340−7, what is 𝑎?

Q4:

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

  • A[𝑎𝑎]
  • B𝑎𝑎
  • C[𝑎𝑎]
  • D𝑎𝑎

Q5:

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

  • A7−10−92
  • B[7−10−92]
  • C⎡⎢⎢⎣7−10−92⎤⎥⎥⎦
  • D7−102−9
  • E7−9−102

Q6:

Complete the following: If a matrix has 4 elements and the number of rows and the number of columns of this matrix are equal, then the order of the matrix is .

  • A1×4
  • B4×1
  • C2×2
  • D2×3
  • E4×4

Q7:

Given that 𝐴=−24−7−199𝐵=−732−6−4−8730𝐶=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

Q8:

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.

  • A054080
  • B054081
  • C084080
  • D500418

Q9:

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

  • A91317141822172227
  • B91317141822192327
  • C91419131823172227
  • D91419141822192327

Q10:

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
  • A3.57.5410.55.511
  • B4.516.5625.510.527
  • C1.55.528.53.59
  • D311417718

This lesson includes 23 additional questions and 206 additional question variations for subscribers.

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