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Express the following systems of equations in matrix form as A x = b. What is...

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Basic Math

Express the following systems of equations in matrix form as A x= b. What is the rank of A in each case (hint: You can find therank of a matrix A by using rank = qr(A)$rank in R. For eachproblem, find the solution set for x using R.

a. X1+5X2+2X3=5

4X1-X2+3X3=-8

6X1-2X2+X3=0

b. 3X1-5X2+6X3+X4=7

4X1+2X3-3X4=5

X2-3X3+7X4=0

X2+3X4=5

Answer & Explanation Solved by verified expert
4.5 Ratings (1082 Votes)
system isaugmented matrix is152541386210convert into Reduced Row Eschelon FormAdd 4 row1 to row215250215286210Add 6 row1 to row315250215280321130Divide row2 by 21152501521430321130Add 32 row2 to row315250152143007121383Divide row3 by 71211525015214300126671Add 521 row3 to    See Answer
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