Consider the following matrix A and its reduced row-echelon
form:
Find the dimensions of row(A), null(A),...
Consider the following matrix A and its reduced row-echelon
form:
Find the dimensions of row(A), null(A), and col(A), and give a
basis for each of them.
A= ( < 0, 0, 0,1 > , < 0, 0, 0, 3 >, < 3, 0, -3,
-2> , < 6, 0, -6, -9 > , < -3, -5, 13 , -2 >,
<-6, -10, 26, -8 > )
rref = ( < 1, 0 ,0, 0 >, < 3, 0, 0, 0...
Please give examples of matrices which
(1) is of size 2 × 4, in row echelon...
Please give examples of matrices which
(1) is of size 2 × 4, in row echelon form but not reduced row
echelon form, with exactly 6 zero entries.
(2) is of size 5 × 3, in reduced row echelon form with exactly
one zero row.
Given that the matrix
[[-3,-7,-2,0],[3,0,-6,0],[1,7,-2,0]]
is the augmented matrix for a linear system, use technology to...
Given that the matrix
[[-3,-7,-2,0],[3,0,-6,0],[1,7,-2,0]]
is the augmented matrix for a linear system, use technology to
perform the row operations needed to transform the matrix to
reduced echelon form. Then determine if the system is consistent
and if it is, find all solutions to the system.
Reduced echelon form:
Is the system consistent? select yes no
Solution: (x1,x2,x3)=
2X1-X2+X3+7X4=0
-1X1-2X2-3X3-11X4=0
-1X1+4X2+3X3+7X4=0
a. Find the reduced row - echelon form of the coefficient
matrix
b....
2X1-X2+X3+7X4=0
-1X1-2X2-3X3-11X4=0
-1X1+4X2+3X3+7X4=0
a. Find the reduced row - echelon form of the coefficient
matrix
b. State the solutions for variables X1,X2,X3,X4 (including
parameters s and t)
c. Find two solution vectors u and v such that the solution
space is \
a set of all linear combinations of the form su + tv.