Question: (2 points) Find two basic solutions to the following system of homogeneous equations. { xyz+2w 4x+2y+zw (4 points) Consider the vectors 10 8 12 5

(2 points) Find two basic solutions to the following system of homogeneous equations. { xyz+2w 4x+2y+zw (4 points) Consider the vectors 10 8 12 5 9 v1= 3 , V2= 3 , V3= 3 , V4: 1 , W= 2 3 2 4 2 4 Write w as a linear combination of VI, , V4 in two different ways. Don't leave any fields blank. Use the coefficient 0 if you don't need one of the vectors. First answer: W = V1 + V2 + V3 + V4 . Second answer: W= DV1+ V2+ V3+ V4

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

- Symbolic functions must be entered using notation similar to the examples given below. - Do NOT include the name of the function or an equal sign. {i.e., do NOT include anything like '1' =' in your...

(1) Consider the following system of linear equations with two parameters a, be R rty+ 2: 2ar + (3a - 1)and + (50 - 2)= 2+ 2a 2ar + (3a - 1)y + (50 - 2+ 63)= = 20 - b+2 (a) State the...

calculate below questions and provide easy step format thankyou. (1) Consider the following system of linear equations, ax - 2y +2 = I + ay + 2z = a where a E R is a parameter. (a) Classify the above...

am stuck please I need help thankyou (1) Given the following system of linear equations, which depends on a parameter a E R. x + 2y - 3: 3r - y + 52 Arty + (al - 14)= = 0+2 (a) Classify the system of...

QUESTION 1 Order of a Matrix Choose one . 4 points Find the order of matrix 1 3 5 -1 6 2 A= 9 -2 3 5 10 O AXA O 16 O A QUESTION 2 V Matrix Entry Value Choose one . 4 points Find the value at entry my...

Please refer to the attached images below for the questions. And please explain your answers and show your explanation and solution. Thanks. Part 2 When we measure, we compare an unknown quantity...

(1) Consider the following system of linear equations 3x + 2y + 203 = -13 -5 5x + 2ay - 3: = -18 where a E R is a constant. (a) Classify the system according to the values of a b) Solve the above...

[2) Given the matrix A = 1 3 [a) Find the characteristic polynomial and check that the eigenvalues are A, = 1 y X, = 2. )which one of them has multiplicity? (b) Determine the corresponding diagonal...

(1) Consider the following system of linear equations with two parameters a, be R +1+2: 2ar + (3a - 1 )and + (50 - 2)= 2+ 2a 2ar + (3a - 1)y + (50 - 2+ 63)= = 20- b+ 2 (a) State the Rouchee-Frobenius...

Mathematical economics; (1) Consider the following system of linear equations arty = 3 2 u+z where a, be R. (a) Classify the system according to the values of a and b. (b) Solve the above system for...

SchrÃ¶dinger's equation for states of the hydrogen atom for which the orbital quantum number is zero is 8m-m h2

Why might the government be interested in influencing exchange rates from time to time? How would it go about moving the exchange rate?

Consider the following observed bond market returns when answering: Bond Type 3 - month 1 0 - year US Treasury 4 . 3 2 % 4 . 5 3 % US AA Corporate 4 . 3 4 % 5 . 0 6 % US BBB Corporate 4 . 7 3 % 5 . 5...

Required neat handwritten solution. Find the shaft power required (in kW) to compress 45.4 kg of air per hour adiabatically from an absolute pressure of 100.95 kPa and 15.6 C to an absolute pressure...