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Lesson Worksheet: Equal Matrices Mathematics • 10th Grade

In this worksheet, we will practice identifying the conditions for two matrices to be equal.

Q1:

Given that 𝐴=333333 and that 𝐡=3333, is it true that 𝐴=𝐡?

  • AYes
  • BNo

Q2:

If 𝐴=ο”βˆ’53βˆ’7βˆ’3,𝐡=ο”βˆ’5βˆ’3βˆ’73, is it true that 𝐴=𝐡?

  • ANo
  • BYes

Q3:

Given that ο•βˆ’43π‘₯βˆ’7=ο•βˆ’438π‘¦βˆ’6, find the values of π‘₯ and 𝑦.

  • Aπ‘₯=14, 𝑦=βˆ’1
  • Bπ‘₯=8, 𝑦=6
  • Cπ‘₯=βˆ’7, 𝑦=βˆ’6
  • Dπ‘₯=8, 𝑦=βˆ’7
  • Eπ‘₯=8, 𝑦=βˆ’1

Q4:

Complete the following: Consider that 𝐴=9π‘₯54 and 𝐡=995𝑦. If matrix 𝐴 equals matrix 𝐡, then π‘₯+𝑦=.

Q5:

Given that 3π‘₯βˆ’3βˆ’3βˆ’10π‘¦βˆ’1=0βˆ’3βˆ’105π‘¦βˆ’5, find the values of π‘₯ and 𝑦.

  • Aπ‘₯=1, 𝑦=βˆ’1
  • Bπ‘₯=0, 𝑦=βˆ’9
  • Cπ‘₯=1, 𝑦=1
  • Dπ‘₯=3, 𝑦=βˆ’1
  • Eπ‘₯=βˆ’1, 𝑦=βˆ’1

Q6:

Given that [π‘₯βˆ’6𝑦+2]=𝑂, where 𝑂 is a zero matrix of order 1Γ—2, find π‘₯βˆ’π‘¦.

Q7:

Given that ο™π‘Žβˆ’2000π‘βˆ’3000𝑐+2ο₯=𝐼, find π‘Ž+𝑏+𝑐.

Q8:

Given that 𝐴=βŽ‘βŽ’βŽ’βŽ£βˆ’0.6βˆ’12βˆ’7101⎀βŽ₯βŽ₯⎦𝐡=ο™βˆ’35βˆ’0.5βˆ’0.71ο₯,, is it true that 𝐴=𝐡?

  • AYes
  • BNo

Q9:

Find the values of π‘₯ and 𝑦, given that 10π‘₯+102βˆ’39=2022𝑦+99.

  • Aπ‘₯=20, 𝑦=βˆ’12
  • Bπ‘₯=Β±1, 𝑦=3
  • Cπ‘₯=βˆ’1, 𝑦=3
  • Dπ‘₯=1, 𝑦=0
  • Eπ‘₯=Β±1, 𝑦=βˆ’6

Q10:

Given that ο”π‘Ž+π‘π‘Žβˆ’π‘π‘Ž+𝑏+π‘π‘Žβˆ’7π‘βˆ’π‘‘ο =ο”βˆ’3βˆ’17βˆ’5βˆ’64, determine the values of π‘Ž, 𝑏, 𝑐, and 𝑑.

  • Aπ‘Ž=βˆ’10, 𝑏=7, 𝑐=12, 𝑑=5
  • Bπ‘Ž=βˆ’10, 𝑏=7, 𝑐=βˆ’2, 𝑑=5
  • Cπ‘Ž=βˆ’10, 𝑏=4, 𝑐=βˆ’2, 𝑑=5
  • Dπ‘Ž=βˆ’10, 𝑏=7, 𝑐=βˆ’2, 𝑑=βˆ’20

This lesson includes 27 additional questions and 184 additional question variations for subscribers.

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