According to your class-notes/textbook - what tis the definition of the rank of a matrix?Could you help me with this problem ?
Let a 3*3 matrix with A^3=I
Find the rank of matrix B=A-I
According to your class-notes/textbook - what tis the definition of the rank of a matrix?
Please show us what you have tried and exactly where you are stuck.
Please follow the rules of posting in this forum, as enunciated at:
Please share your work/thoughts about this problem
The rank of a matrix is the maximum number of its linearly independent column vectorsAccording to your class-notes/textbook - what tis the definition of the rank of a matrix?
Please show us what you have tried and exactly where you are stuck.
Please follow the rules of posting in this forum, as enunciated at:
Please share your work/thoughts about this problem
Thank you very much for your reply!!If we know
\(\displaystyle A^2+A+I=0\) in stand of
\(\displaystyle A^3=I\) ?
Then can we find exactly the rank of matrix
\(\displaystyle B=A-I\). ??
I don't see how this replacement helps us. I believe I solved the problem using eigenvalues and eigenvectors of [imath]A[/imath].If we know
\(\displaystyle A^2+A+I=0\) in stand of
\(\displaystyle A^3=I\) ?
Then can we find exactly the rank of matrix
\(\displaystyle B=A-I\). ??