If 3begin{bmatrix}x_1 & x_2 x_3 & x_4 end{bmatrix}=begin{bmatrix}x_1 & 2 -1 & 4x_4 end{bmatrix}+begin{bmatrix}4 & x_1+x_2 x_3+x_4 & 3 end{bmatrix} 1.

floymdiT

floymdiT

Answered question

2021-02-16

If 3[x1x2x3x4]=[x1214x4]+[4x1+x2x3+x43]
1. x1=2,x2=2,x3=2,x4=3
2. x1=2,x2=2,x3=2,x4=3
3. x1=2,x2=2,x3=2,x4=3
4. x1=2,x2=2,x3=2,x4=3
5, x1=2,x2=2,x3=2,x4=3

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-02-17Added 100 answers

Step 1
We will perform the addition and scalar multiplication of matrices on both the sides.
Then we will compare corresponding elements in both matrices and will solve the equations.
Step 2
3[x1x2x3x4]=[x1214x4]+[3x1+x2x3+x43]
[3x13x23x33x4]=[x1+42+x1+x2x3+x414x4+3]
3x1=x1+4
2x1=4
x1=2
3x4=4x4+3
x4+3=0
x4=3
3x2=2+x1+x2
2x2=2+x1
2x2=2+2
x2=2
3x3=x3+x41
2x3=x41
=31
x3=2
x1=2,x2=2,x3=2,x4=3
option 5

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