Subtraction of Matrices

The subtraction of matrices is a fundamental operation in linear algebra, integral to various mathematical and computational applications. Matrices, represented as arrays of numbers, undergo subtraction following specific rules to manipulate their elements. This operation involves subtracting corresponding elements of matrices of the same dimensions, resulting in a new matrix with elements that reflect the differences between the original matrices. Understanding matrix subtraction is essential for solving systems of linear equations, performing transformations in graphics and engineering, and analyzing data in fields such as statistics and machine learning.

Questions
  • How do you find Z-Y given #X=[(4,1), (-2,6)]# and #Y=[(0,-3)]# and #Z=[(-1,3), (0,-2)]#?
  • How do you subtract #3xy^2# from #8xy^2#?
  • How do you simplify #8[(0.25,0.5),(0.75,1.5)]-2[(0.25,0.5), (0.75,1.5)]#?
  • How do you simplify #[(3,7), (-2,1)]-[(2,5),(-3,-4)]#?
  • How do I do matrix subtraction in Excel?
  • If #A=((-3, x),(2y, 0))# and #B=((4, 6),(-3, 1))#, what is #A-B#?
  • How do you simplify #[(-5,7),(6,8)]-[(4,0,-2),(9,0,1)]#?
  • Given the matrices #A=[(5,7),(-1,6), (3,-9)], B=[(8,3), (5,1), (4,4)], C=[(0,4),(-2,5), (7,-1)], D[(6,2), (9,0), (-3,0)]#, how do you find D-B?
  • How do you find Z-X given #X=[(4,1), (-2,6)]# and #Y=[(0,-3)]# and #Z=[(-1,3), (0,-2)]#?
  • How do I do matrix subtraction?
  • What are common mistakes students make with subtracting a matrix?
  • How do you simplify #[(12,0,8),(9,15,-11)]-[(-3,0,4),(9,2,-6)]#?
  • How do you simplify #1/2[(4,6),(3,0)]-2/3[(9,27),(0,3)]#?
  • Matinee tickets for a movie theater sell for $5.50 for adults and $4.50 for students. If 515 tickets were sold for a total of $2,440.50, how many students' tickets were sold?
  • How do you subtract #\frac{8}{3- 7y} - \frac{2}{7y - 3}#?
  • How do you subtract #(- 3x^{2} + 6x - 1) - ( - 5x^{2} + 4x + 2)#?
  • How do you subtract #2x# from #4x-5#?
  • How do you solve #3j + 4= - 6- j#?
  • How do you subtract #3\frac { 1} { 5} - 2\frac { 6} { 7}#?
  • How do you subtract #6\frac { 3} { 8} - 2\frac { 1} { 5} #?