Question: Given two 3*4 matrix M and M', M = [A,b], M' = [A', b']. A and A' are 3*3 invertible matrix, b and b' are

Given two 3*4 matrix M and M', M = [A,b], M' = [A', b']. A and A' are 3*3 invertible matrix, b and b' are 3*1 matrix.

Also assume et(-ATA-1b + b') !=0, where et = [0,0,1]t.

M_hat = [I3*3, 03*1], M_hat' = [m11*4, m21*4, [0,0,0,1]] where m1 and m2 are any 1*4 matrix.

Show that there is a 4*4 matrix H such that MH = M_hat and M'H = M_hat'.

Hint is to decompose H into H0 and H1 such that MH0 = M_hat. After find H0, then find H1, so that M'H0H1 = M_hat' and also keep MH0H1 = M'.

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!

Q:

\fInstructions: For the take-home portion of the exam, you may use your notes and your book as reference material. You may also use Python, Mathematica, Matlab, or a calculator to help in answering...

Q:

Each of four machines is to be assigned to one of five possible locations. The objective is to assign the machines to locations that will minimize the materials handling cost. The machine- location...

Q:

Each of four machines is to be assigned to one of five possible locations. The objective is to assign the machines to locations that will minimize the materials handling cost. The machine- location...

Q:

Each of four machines is to be assigned to one of five possible locations. The objective is to assign the machines to locations that will minimize the materials handling cost. The machine- location...

Q:

i do NOT need code. Please explain to me how "sample input" and "sample output" are related. or "input format" and "output format"? In this assignment, you will do a couple of C programming...

Q:

\fDecide whether the given matrix could be a transition matrix. 3) 0.4 0.2 0.4 0.2 0.4 0.5 0.8 0.1 0.1 A) Yes B) No \fFor the given transition matrix, find the probability that state 2 changes to...

Q:

Numerical Methods for Engineers, ME 325, Fall 2017 4. Write a user-defined function, i.e., matrix_ mult_IYOUR WSU IDJ.m, calculating a matrix multiplication (4 pt). Requirement matrix...

Q:

Write a user-defined function, i.e., matrix_mult_[YOUR WSU ID].m, calculating a matrix multiplication (4 pt). 4. Write a user-defined function, i.e., matrix_mult_[YOUR WSU ID].m, calculating a matrix...

Q:

F# ASSIGNMENT Problem 1 Given vectors u = (u1, u2 ,..., un) and v = (v1, v2 ,..., vn), the inner product of u and v is defined to be u1*v1 + u2*v2 + ... + un*vn. Write a curried F# function inner...

Q:

Given an m-by-n matrix A and an n-by-k matrix B, the product of A and B is an m-by-k matrix whose entry in position (i, j) is the inner product of row i of A with column j of B. For example, (1 4 2 5...

Q:

After a heavy snowfall, hardware stores often experience a run on snow shovels and other snow removal equipment. However, they rarely raise prices even though there is a temporary spike in demand....

Q:

A skeleton of Athol Country Florists balance sheet appears as follows (amounts in thousands): Use the following ratio data to complete Athol Country Florists balance sheet: a. Debt ratio is 0.50. b....

Q:

What is the definition of a vested interest? an inherent right or claim, especially financial. an interest only relevant to external stakeholders. a passing interest without any significant impact. a...

Q:

Need all questions answered The margin of safety in dollars equals the excess of actual sales over budgeted sales. A. True B. False 8. One way to compute the total contribution margin is to deduct...