QUESTION 4 A square matrix has an inverse if and only if It is not the identity

Question

QUESTION 4 A square matrix has an inverse if and only if It is not the identity It is a rotation matrix Its determinant is not zero It has a homogeneous representation QUESTION 5 The origin is The unique matrix M such that Mx = x for every x. The unique 0-dimensional vector One of the standard basis vectors The vector with all zeros QUESTION 6 The standard basis vectors are The set of vectors used in homogeneous respresentations of matrices O The set of vectors that have a 1 in one position and O's elsewhere The columns of a given rotation matrix The unique set of vectors that are linear combinations of each other

Explanation / Answer

QUESTION 4
Its determinant is not zero

A square matrix has an inverse if and only if it's determinant is non zero. When the determinant for a square matrix is equal to zero, the inverse for that matrix does not exist.

QUESTION 5
The origin is

The vector with all zeros

QUESTION 6
The standard basis vectors are

The unique set of vectors that are linear combinations of each other

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

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