Recent content by svasudevan

  1. S

    Linearly Independent R^3 -> Linearly Independent R^4

    Thank you for your response. After more thinking I was able to find that the matrix must be linearly independent (pivot in every column) and that when it is row reduced, the matrix would be: [ 1 0 0 ] [ 0 1 0 ] [ 0 0 1 ] [ 0 0 0 ]
  2. S

    Linearly Independent R^3 -> Linearly Independent R^4

    Standard Matrix for R^3 -> R^4 where if domain is Linearly Independent so is codomain Homework Statement 5. Suppose T : R^3 -> R^4 is a linear transformation with the following property: For any linearly independent vectors v_1, v_2 and v_3 in R^3, the images T(v_1), T(v_2) and T(v_3) are...
Back
Top