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4 years ago

Find the lateral area of the square pyramid

Mathematics

1 answer:

LiRa [457]4 years ago

3 0

I think it is 38 brainly asner please

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The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of th

Aliun [14]

Answer:

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

$A=\left[\begin{array}{ccc}-3&0&1\\2&-4&2\\-3&-2&1\end{array}\right]$

to find the eigenvalues of the matrix you use the following:

$det(A-\lambda I)=0$

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

$A-\lambda I=\left[\begin{array}{ccc}-3-\lambda&0&1\\2&-4-\lambda&2\\-3&-2&1-\lambda\end{array}\right]$

and by taking the determinant:

$[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-\lambda)+(2)(-2)(-3-\lambda)]=0\\\\-\lambda^3-6\lambda^2-12\lambda-16=0$

and the roots of this polynomial is:

$\lambda_1=-4\\\\\lambda_2=-1+i\sqrt{3}\\\\\lambda_3=-1-i\sqrt{3}$

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

3 0

3 years ago

PLEASE HELP ASAP!!!

Anna71 [15]

Answer:..

Step-by-step explanation:i see that you need this urgentl. Hope I am not too late. But to put it in simpler terms the answer is joe mama

7 0

3 years ago

Solve for x.<br> 5x – 4 ≥ 12<br> OR<br> 12x + 5 ≤ -4

VARVARA [1.3K]

Answer:

x≥16/5

Step-by-step explanation:

5x-4≥12

5x≥16

x≥16/5

4 0

3 years ago

Which is the simplified form of the expression ((p^2)(q^5))^-4 * ((p^-4)(q^5))^-2 ?

emmasim [6.3K]

$\bold{ANSWER:}$
OPTION A

$\bold{EXPLANATIONS:}$

8 0

2 years ago

HELP ASAP!!!!

Vikentia [17]

Answer:

The answer would be 70.2.

Step-by-step explanation:

You just have to replace the x in the equation with a 2 because x=2.

5 0

3 years ago