Advertisement Remove all ads

If A = B[12-3-37-80-61],B=[9-12-42540-3] then find the matrix C such that A + B + C is a zero matrix. - Mathematics and Statistics

Sum

If A = `[(1, 2, -3),(-3, 7, -8),(0, -6, 1)], "B" = [(9, -1, 2),(-4, 2, 5),(4, 0, -3)]` then find the matrix C such that A + B + C is a zero matrix.

Advertisement Remove all ads

Solution

A + B + C is a zero martix.
∴ A + B + C = 0
∴ C = – (A + B)

= `- {[(1, 2, 3),(-3, 7, -8),(0, -6, 1)] + [(9, -1, 2),(-4, 2, 5),(4, 0, -3)]}`

= `-[(1 + 9, 2 - 1, -3 + 2),(-3 - 4, 7 + 2, -8 + 5),(0 + 4, -6 + 0, 1-3)]`

= `-[(10, 1, -1),(-7, 9, -3),(4, -6, -2)]`

= `[(10, -1, 1),(-7, -9, 3),(-4, 6, -2)]`.

  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×