Question 1. A square matrix A such that aij=o¥i>j is called?
A. Lower triangular
B. Upper triangular
C. Strictly upper triangular
D. Strictly lower triangular
Answer is B. Upper triangular
Question 2. Let T€A(A), then T is invertible if on only if the consto term in the minimal polynomial of T is ____?
A. Not zero
B. Zero
C. Not one
D. One
Answer is A. Not zero
Question 3. The determinant of [2 -x -1, 2 -x 3x, 1 -1 2x] is _____?
A. -3x² + 5x + 2
B. X² -5x +20
C. 7x² + 5x +2
D. X² – 5x + 2
Answer is A. -3x² + 5x + 2
Question 4. Question 3. The determinant of [x 2 1, x 5 2x, 3 x 4] is _____?
A. 11
B. X² – 4x + 5
C. X – 2x
D. -2x³ + x² + 24x + 15
Answer D. -2x³ + x² + 24x + 15
Question 5. Every vector space is isomorphic to its____dual?
A. Ist
B. 2nd
C. 3rd
D. 4th
Answer is B. 2nd
Question 6. For any linear transformation T:U->V let the dimension of U be finite, then ker T has_____ dimension?
A. Finite
B. Infinite
C. Linear
D. Non linear
Answer is A. Finite
Question 7. The dimension of the kernet of T is the same as the _____ of T?
A. Range
B. Rank
C. Nullity
D. Space
Answer is C. Nullity
Question 8. Question 4. Question 3. The determinant of [2 3 1, 0 0 0, 4 5 9] is _____?
A. 10
B. 4
C. Zero
D. 1
Answer is C. Zero
Question 9. a matrix whose determinant is zero is called_____?
A. Symmetric
B. Non-symmetrical
C. Singular
D. Non singular
Answer is C. Singular
Question 10.
Question 7. The dimension of the kernet of T is the same as the _____ of T?
A. Range
B. Rank
C. Nullity
D. Space
Answer is C. Nullity
Be the first to comment