Question

What is the dimension of the row space, column space and null space of the matrix below? [ 1 1 -3/2 0 -1 1 ] [ 0 1 2/3 -1/3 1/3 2/3 ] [ 0 0 1 -14 14 16 ] [ 0 0 0 1 -2 -11/3 ] [ 0 0 0 0 1 91/36 ] The dimension of the row space is: The dimension of the column space is: The dimension of the null space is:

          What is the dimension of the row space, column space and null space of the matrix below?
[ 1 1 -3/2 0 -1 1 ]
[ 0 1 2/3 -1/3 1/3 2/3 ]
[ 0 0 1 -14 14 16 ]
[ 0 0 0 1 -2 -11/3 ]
[ 0 0 0 0 1 91/36 ]
The dimension of the row space is:
The dimension of the column space is:
The dimension of the null space is:

What is the dimension of the row space, column space and null space of the matrix below?
[ 1 1 -3/2 0 -1 1 ]
[ 0 1 2/3 -1/3 1/3 2/3 ]
[ 0 0 1 -14 14 16 ]
[ 0 0 0 1 -2 -11/3 ]
[ 0 0 0 0 1 91/36 ]
The dimension of the row space is:
The dimension of the column space is:
The dimension of the null space is:

Added by Richard A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

12/21/2022

Step 1

5 & 1.5 \\ 0 & 18 & -9 \\ 0 & 44 & -132 \end{bmatrix} \rightarrow \begin{bmatrix} 2 & -1 & 3 \\ 0 & 3.5 & 1.5 \\ 0 & 0 & -12 \\ 0 & 0 & -88 \end{bmatrix} \rightarrow \begin{bmatrix} 2 & -1 & 3 \\ 0 & 3.5 & 1.5 \\ 0 & 0 & -12 \\ 0 & 0 & 0 \end{bmatrix} $$ Now, we Show more…

Show all steps

Thanks for your feedback!

What is the dimension of the row space, column space and null space of the matrix below? The dimension of the row space is: The dimension of the column space is: The dimension of the null space is: