Question

MUST use A times indetity matrix method to prove it is not possible and explain why it is ntot possible by looking the matrix turns out

DO NOT use determine method 4-4 =0 is not possible!!!

Let Find A-1 if possible. If A- does not e determine why

0 0
Add a comment Improve this question Transcribed image text
Answer #1
2 1
4 2

add the Identity Matrix to the right

2 1 1 0
4 2 0 1

Divide row1 by 2

1 1/2 1/2 0
4 2 0 1


Add (-4 * row1) to row2

1 1/2 1/2 0
0 0 -2 1


Divide row2 by -2

1 1/2 1/2 0
0 0 1 -1/2


Add (-1/2 * row2) to row1

1 1/2 0 1/4
0 0 1 -1/2

Last row of a matrix is zero so, The rows and columns are not independent. so matrix is not invertible

Add a comment
Know the answer?
Add Answer to:
MUST use A times indetity matrix method to prove it is not possible and explain why...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 4. Use elementary row operations (Gauss-Jordan method) to find the inverse of the matrix (if it...

    4. Use elementary row operations (Gauss-Jordan method) to find the inverse of the matrix (if it exists). If the inverse does not exist, explain why. 1 0-1 A:0 1 2 0 -1 2us 0P 0 Determine whether v is in span(ui, u2, us). Write v as a linear combination of ui, u2, and us if it is in span(u1, u2, u3). If v is not in span(ui, u2, u3), state why. span(ui,u2,us). If v is not in span(ui,u^, us), state...

  • 5. Let f(x) = ax2 +bx+c, where a > 0. Prove that the secant method for...

    5. Let f(x) = ax2 +bx+c, where a > 0. Prove that the secant method for minimization will terminate in exactly one iteration for any initial points Xo, X1, provided that x1 + xo: 6. Consider the sequence {x(k)} given by i. Write down the value of the limit of {x(k)}. ii. Find the order of convergence of {x(k)}. 7. Consider the function f(x) = x4 – 14x3 + 60x2 – 70x in the interval (0, 2). Use the bisection...

  • (6) Let A denote an m x n matrix. Prove that rank A < 1 if...

    (6) Let A denote an m x n matrix. Prove that rank A < 1 if and only if A = BC. Where B is an m x 1 matrix and C is a 1 xn matrix. Solution (7) Do the following: (a) Use proof by induction to find a formula for for all positive integers n and for alld E R. Solution ... 2 for all positive (b) Find a closed formula for each entry of A" where A...

  • 7.1.2. Let R be a commutative ring and a, b E R, and define The goal of this problem is to prove ...

    Part 1 Part 2 7.1.2. Let R be a commutative ring and a, b E R, and define The goal of this problem is to prove that (a, b) is an ideal of R (a) Explain how you know that 0 E (a, b b) What do two random elements of (a, b) look like? Explain why their sum must be in (c) For s E R and z E (a,b), explain why sz E (a, b). 7.2.1. In the...

  • , then n lim Let Ά be a square matrix. Prove that if ρ(A)<1 Use the...

    , then n lim Let Ά be a square matrix. Prove that if ρ(A)<1 Use the following fact without proof. For any square matrix A and any positive real number ε , there exists a natural matrix norm I l such that l-4 ll < ρ (d) +ε IIA" 11-0

  • 16. Diagonalize the following matrices if possible. (If not possible explain why not) Then compute A2....

    16. Diagonalize the following matrices if possible. (If not possible explain why not) Then compute A2. (Use the diagonal matrix to do the computation if A was diagonalizable) One of the Eigen-values is provided to get you started. A= [-2 3 1-9 10 -1 15 4 -2 10. 2=4

  • Find matrix X satisfying the following equation, if possible. If it is not possible, say why....

    Find matrix X satisfying the following equation, if possible. If it is not possible, say why. Find two solutions if there exist more than one. Ax = B A= 0 1 -1 2 2 2 3 2 -3 B = 4 -1 2 4 1 5

  • (1 point) Let A = -3 -1 6 -4 0 6 -2 -1 5 If possible,...

    (1 point) Let A = -3 -1 6 -4 0 6 -2 -1 5 If possible, find an invertible matrix P so that D = P-1 AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P= D= Is A diagonalizable over R? choose Be sure you can explain why or why...

  • please solve parts a, b, c for this question 1 A = -1 1 (a) Suppose that is any nonzero vector in R2. Explain why...

    please solve parts a, b, c for this question 1 A = -1 1 (a) Suppose that is any nonzero vector in R2. Explain why the vectors U, AU, and A2 must be linearly dependent. (Note: do not use any numerical examples in your answer; your reasoning must be valid no matter what is.) s in the cpak of the ImlA) Thuscan be uvi Hen os a linear combo of the basi vetus op im{A) (b) Let Part (a) shows...

  • Ques 3 (d) Suppose that n-10, and Xi Xio represent the waiting times that the 10...

    Ques 3 (d) Suppose that n-10, and Xi Xio represent the waiting times that the 10 people must wait at a bus stop for their bus to arrive. Interpret the result of (c) in the context of this scenario be iid observations from the Uniform(0,0) distribution. 3. Again, let X..., X (a) Find the joint pdf of Xu) and X() (b) Define R = X(n)-X(1) as the sample range. Find the pdf of R. (e) It turns out, if X...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT