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Lesson Worksheet: Introduction to Matrices Mathematics • 10th Grade

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


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

  • Aπ‘ŽοŠ¨οŠ©
  • Bπ‘ŽοŠ©οŠ¨
  • Cπ‘ŽοŠ§οŠ¨
  • Dπ‘ŽοŠͺ
  • Eπ‘ŽοŠ¨οŠ§


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


Given 𝐴=8βˆ’31145βˆ’592βˆ’1340βˆ’7, what is π‘ŽοŠ¨οŠ©?


Which of the following is the matrix 𝐴=ο€Ήπ‘Žο…οƒο…, where 𝑖=1 and 𝑗=1,2?

  • A[π‘Žπ‘Ž]
  • Bο•π‘Žπ‘Žο‘οŠ§οŠ§οŠ¨οŠ§
  • C[π‘Žπ‘Ž]
  • Dο•π‘Žπ‘Žο‘οŠ§οŠ¨οŠ§οŠ§


Given that 𝐴 is a matrix of order 2Γ—2, with π‘Ž=7, π‘Ž=βˆ’10, π‘Ž=βˆ’9, and π‘Ž=2, find the matrix 𝐴.

  • A7βˆ’10βˆ’92
  • B[7βˆ’10βˆ’92]
  • C⎑⎒⎒⎣7βˆ’10βˆ’92⎀βŽ₯βŽ₯⎦
  • D7βˆ’102βˆ’9
  • E7βˆ’9βˆ’102


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 .

  • A1Γ—4
  • B4Γ—1
  • C2Γ—2
  • D2Γ—3
  • E4Γ—4


Given that 𝐴=ο”βˆ’24βˆ’7βˆ’199𝐡=ο˜βˆ’732βˆ’6βˆ’4βˆ’8730𝐢=2βˆ’5βˆ’4,,, find π‘ŽοŠ¨οŠ©, π‘οŠ¨οŠ§, and π‘οŠ¨οŠ§.

  • Aπ‘Ž=4, 𝑏=βˆ’6, 𝑐=βˆ’5
  • Bπ‘Ž=9, 𝑏=βˆ’6, 𝑐=βˆ’5
  • Cπ‘Ž=9, 𝑏=3, 𝑐=βˆ’5
  • Dπ‘Ž=βˆ’8, 𝑏=4, 𝑐=βˆ’5


Given that 𝐴 is a matrix of order 3Γ—2, where π‘Ž=0, π‘Ž=π‘Žβˆ’3, π‘Ž=4, π‘Ž=12π‘ŽοŠ¨οŠ¨οŠ§οŠ§, π‘Ž=8, and π‘Ž=14π‘ŽοŠ©οŠ¨οŠ¨οŠ§, determine 𝐴.

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


Find the matrix 𝐴=ο€Ήπ‘Žο…ο—ο˜, with an order of 3Γ—3, whose elements are given by the formula π‘Ž=5π‘₯+4π‘¦ο—ο˜.

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


The table below represents the prices of some drinks in a cafΓ©. The cafΓ© 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

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

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