Matrices

5. Which of the following matrices is equal to

2018 June(A11) Math Question 5

2018 December(B05) Math Question 8

8. Which of the following augmented matrices represents the system of linear equations below? 3x + 5y = 20 2x— y= 9

2016 April(73E) Math Question 8

8. Which of the following matrices is equal to ?

Adding & subtracting matrices

2021 December(E23) Math Question 8

2015 December(72E) Math Question 10

18. [ 10 -8 -13 11 ] − [ -9 -8 -17 14 ] = ?

2020 December(D03) Math Question 18

26. What value of x satisfies the matrix equation below?

2015 April(73G) Math Question 26

2019 April(B04) Math Question 30

2020 July(C01) Math Question 30

39. Given matrices X = [-1  0]  and Y = [-2 -1], which of the following matrices is XY ?

Matrix Multiplying

2021 April(Z04) Math Question 39

43. Given that for some real number a, what is x + z?

2014 June(72C) Math Question 43

2019 December(C03) Math Question 43

2010 June(68C) Math Question 44

48. Four matrices are given bwlow. Which of the following matrix products is undefined?

2015 June(73C) Math Question 48

2019 April(Z15) Math Question 51

2009 June(67C) Math Question 53

2011 June(69F) Math Question 55

55. The determinant of any 2 x 2 matrix is ad - bc. The determinant of is equal to 0. What are all possible values of x?

2014 December(72G) Math Question 55

55. What is the determinant of the matrix shown below?

2016 December(74H) Math Question 55

57. For what positive real value of k, if any, is the determinant of the matrix [ k 3 k 4

2017 April(74F) Math Question 57

2019 June(72F) Math Question 57

57. Valley High School and Mountain High School have decided that selected students will attend a daytime theatrical performance that costs $5 for each teacher and $3 for each student. One teacher and 10 students from Valley High will attend, and 2 teachers and 25 students from Mountain High will attend. Which of the following matrix products represents the ticket costs. in dollars, for each high school?

2018 April(A09) Math Question 57

57. Consider all rectangles such that the rectangle’s length is greater than the rectangle’s width and the length and width are whole numbers of inches. Which of the following perimeters, in inches, is NOT possible for such a rectangle with an area of 144 square inches?

2017 December(A10) Math Question 57

2019 April(Z15) Math Question 58

60. The table below shows the numbers of rows and columns in each of 5 matrices.

MatricesThere are 26 ACT math questions under Matrices

Sub-topics

2018 June(A11) Math Question 5

2018 December(B05) Math Question 8