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Alexxandr [17]
3 years ago
11

Solve for In(5z + 7) – 8

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Step-by-step explanation:

In×5z+In×7

=1.67z +1.95-8

=1.67z-6.05

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The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

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We can also write them as

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The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

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As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
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