Given the matrices A and B shown below , solve for X in the equation -frac{1}{3}X+frac{1}{2}A=B A=begin{bmatrix}-10 & 4 8 & 8 end{bmatrix}, B=begin{bmatrix}9 & -1 4& 2 end{bmatrix}

Lennie Carroll

Lennie Carroll

Answered question

2020-12-09

Given the matrices A and B shown below , solve for X in the equation 13X+12A=B
A=[10488],B=[9142]

Answer & Explanation

StrycharzT

StrycharzT

Skilled2020-12-10Added 102 answers

Step 1
the given matrices are:
A=[10488],B=[9142]
we have to solve for X in the equation 13X+12A=B
Step 2
the given matrices are: A=[10488] and B=[9142]
13X+12A=B
13X+12[10488]=[9142]
13X+[102428282]=[9142]
13X+[5244]=[9142]
13X=[9142][5244]
13X=[9142]+[5244]
13X=[9+5124424]
13X=[14302]
X=3[14302]
X=[14×(3)3×(3)0×(3)2×(3)]
X=[42906]
Step 3
therefore the matrix X is [42906]
therefore the solution of X for the equation 13X+12A=B is X=[42906]
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-29Added 2605 answers

Answer is given below (on video)

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