Finding Row, Column and Null (Kernel) Space from Base vectors spanning space S ⊆ ℝn
Given the m × n matrix A (denoting the liner transformation T : ℝn → ℝm ),
find p vectors r1, ..., rp from ℝn which are forming the Row Space,
q vectors c1, ..., cq which forming the Column Space (range or image of T) and
and its Null Space or Kernel {v ∈ ℝn | Av = T (v) = 0}
First, specify the dimension m × n of the matrix A, and then populate the matrix.
By default we are using the real numbers (decimal form) for displaying results.
If all supplied numers are integers and you check the "Use Rational Numbers", the result will be displayed in rational numbers.
Please note that we have limited the dimension n in the "Manual Entry" tab to 10 due to the limited space on the screen.
Dimension of the matrix : ×
Use Rational Numbers Given the m × n matrix A (denoting the liner transformation T : ℝn → ℝm ),
find p vectors r1, ..., rp from ℝn which are forming the Row Space,
q vectors c1, ..., cq which forming the Column Space (range or image of T) and
and its Null Space or Kernel {v ∈ ℝn | Av = T (v) = 0}
First, specify the dimension m × n of the matrix A, and then populate the matrix.
By default we are using the real numbers (decimal form) for displaying results.
If all supplied numers are integers and you check the "Use Rational Numbers", the result will be displayed in rational numbers.
Please note that we have limited the dimension n in the "Manual Entry" tab to 10 due to the limited space on the screen.
A =
We are working hard to finish it, and you will be able to use it soon.
