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Sagot :
The value of a for which v is a linear combination is given as follows:
a = -8.
How to obtain the value of a?
A vector generated by adding two or more vectors (with various orientations) and multiplying by scalar values is known as a linear combination of two or more vectors.
v will be a linear combination of the set H if it can be obtained as the solution of a system of equations from the set H.
From the vectors, the system is defined as follows:
-x = -1.
2x - y = 4.
5x + 4y - 3z = -6.
-x + 3y - z = a.
From the first equation, the value of x is obtained as follows:
-x = -1
x = 1.
From the second equation, the value of y is obtained as follows:
2x - y = 4
2 - y = 4
y = 2 - 4
y = -2.
From the third equation, the value of z is obtained as follows:
5x + 4y - 3z = -6.
5 - 8 - 3z = -6
3z = 3
z = 1.
Then the value of a needed for the linear combination is of:
a = -x + 3y - z
a = -1 - 6 - 1
a = -8.
To learn more about linear combination visit: brainly.com/question/29770393
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