Ask Question
2 February, 12:34

Matrix equations not requiring inverses. [-5,31,32,30]=[3,-5,0,-2] 4x

+1
Answers (2)
  1. 2 February, 12:53
    0
    [-5, - 31, 32, 30] = [3, - 5, 0, - 2] + 4x

    4x = [-5 - 3, - 31 + 5, 32, 30 + 2] = [-8, - 26, 32, 32]

    x = [-8/4, - 26/4, 32/4, 32/4]

    x = [-2, - 13/2, 8, 8]
  2. 2 February, 12:54
    0
    Below is the solution:

    Get rid of right hand side row vector so take it to other sides then signs of all its terms will invert.

    [-5,31,32,30]=[3,-5,0,-2]+4X

    [-5,31,32,30] - [3,-5,0,-2] = 4X

    Subtract respective terms of second row matric from first one. i. e.

    [-5 - (3), 31 - (-5), 32 - (0), 30 - (-2) ] = 4X

    since multiplication of two negative signs result in positive sign so;

    [-5-3, 31+5,32-0,30+2] = 4X

    [-8, 36,32,32] = 4X

    4 is just a scalar number so we can divide both sides with 4 to get rid of 4 from right hand side.

    therefore;

    [-8/4, 36/4,32/4,32/4] = 4X/4

    [-2,9,8,8]=X

    Result is:

    X=[-2,9,8,8]
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Matrix equations not requiring inverses. [-5,31,32,30]=[3,-5,0,-2] 4x ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers