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scZoUnD [109]
2 years ago
9

Find the sum of A and B: A=5+7i, B=7+4i

Mathematics
2 answers:
ale4655 [162]2 years ago
7 0

Answer:

add real numbers together and imaginary numbers together

A + B = 12 + 11i

Step-by-step explanation:

maksim [4K]2 years ago
5 0

A + B = 5 + 7i + 7 + 4i

A + B = 12 + 11i

Done.

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Let v⃗ 1=⎡⎣⎢033⎤⎦⎥,v⃗ 2=⎡⎣⎢1−10⎤⎦⎥,v⃗ 3=⎡⎣⎢30−3⎤⎦⎥ be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−1, λ2
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Answer:

- x as a linear combination :

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Step-by-step explanation:

Given v1 = (0 3 3),v2 = (1 −1 0), v3 = (3 0 −3) be eigenvectors of the matrix A which correspond to the eigenvalues λ1 = −1, λ2 = 0, and λ3 = 1, respectively, and let x = (−2 −4 0). Express x as a linear combination of v1, v2, and v3, and find Ax .

To write x as a linear combination of v1, v2, and v3

x = -1 v1+ 0 v2+ 1 v3.

To find Ax

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...................(1 ......-1 ......0)

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Since transpose x = (-2, 4, 0)

Ax =......... (0 ......3......3 )(-2)

...................(1 ......-1 ......0)(4)

...................(3 ......0......-3)(0)

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.. (3×-2 + 0×4 + -3×0)

As = (12)

....(-6)

....(-6)

Transpose Ax = (12, -6, -6)

7 0
2 years ago
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