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sweet-ann [11.9K]
2 years ago
15

Explain why this matrix equation has no solution: A 11 17 −8 13 = 0 0 0 0.

Mathematics
1 answer:
qwelly [4]2 years ago
5 0

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Given to us

A + [11   17   -8    13] = [0   0   0   0]

<h3>What is the value of matrix A?</h3>

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11   17   -8    13] = [0   0   0   0]

A = [0   0   0   0] - [11   17   -8    13]

A = [-11   -17   +8    -13]

Thus, the matrix is equal to [-11   -17   +8    -13].

<h3>why this matrix equation has no solution?</h3>

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11   17   -8    13] is been added to it.

Thus, the sum of the two matrices has no solution.

Learn more about Matrices:

brainly.com/question/11367104

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Answer:

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Step-by-step explanation:

Solve the given equations simultaneously to find x and y

2x + y = 23 → (1)

4x - y = 19 → (2)

Adding the 2 equations term by term will eliminate y

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6x = 42 ( divide both sides by 6 )

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Substitute x = 7 into either of the 2 equations and solve for y

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y = 9

Then

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5y - 2x = 5(9) - 2(7) = 45 - 14 = 31

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Step-by-step explanation:

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Here we see that any value <em>x</em> that is less than -4 would work as a solution.

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