Transcribed TextTranscribed Text

PROBLEM #2 (4 marks) Consider the linear system x+2y=0 y+2z= k (4+k)z=2k = (a) For what value(s) of k is the linear system inconsistent? (b) For what value(s) of k does the linear system have infinitely many solutions? PROBLEM #3 (7 marks) Consider the system of linear equations x1+x3 = b1 2x1-x2+xx=62 - x1+2x2+2x3=63 (a) Write the system as a matrix equation AX = B. (b) Find A-1 the inverse of the coefficient matrix. (c) Use A-1 found in part(b) to solve the system. a (a) For what value(s) of a, b, and C is the matrix 0 1 0 0 in RREF? 0 0 0 1 1 0 5 0 2 1 0 1 4 0 0 -2 (b) If the following matrix is an augmented matrix, then find its solution. 0 0 0 1 -1 3 0 0 0 0 0 0 What is its rank? PROBLEM #2 (4 marks) Consider the linear system x+2y=0 y+2z=k (4+k)z 2k

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:

    for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Linear Algebra Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Upload a file
    Continue without uploading

    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats