Let A by an n times n matrix, and let T : Rn rightarrow Rn, T(x) = Ax be a linea

Question

Let A by an n times n matrix, and let T : Rn rightarrow Rn, T(x) = Ax be a linear t ran format ion. Suppose the dimension of the orthogonal complement of the nullspace of A is less than n. Which of the following are true? (You may choose several answers.) the columns of A do not form a basis for Rn. lambda = 0 is not an eigenvalue of A. the rows of A are not linearly independent. A has rank n. A is non - singular. the kernel of T is {0}. del the rows of A do not form a basis for Rn. None of those.

Explanation / Answer

(I am only writing the correct options) the correct options are : the range of T is Rn. the dimension of null space is less than n. det A =0 A is singular Lamda = 0 is not an eigenvalue

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.