Mathematics · Linear Algebra
Which of the following statements are correct?
(A) The matrix [ 1 1 ; 0 0 ] is diagonalizable but non-invertible.
(B) The matrix [ 1 1 ; 0 1 ] is non-diagonalizable but invertible.
(C) The matrix [ 1 1 ; 0 1 ] is diagonalizable and invertible.
(D) The matrix [ 1 1 ; 0 0 ] is non-diagonalizable and non-invertible.
(A) The matrix [ 1 1 ; 0 0 ] is diagonalizable but non-invertible.
(B) The matrix [ 1 1 ; 0 1 ] is non-diagonalizable but invertible.
(C) The matrix [ 1 1 ; 0 1 ] is diagonalizable and invertible.
(D) The matrix [ 1 1 ; 0 0 ] is non-diagonalizable and non-invertible.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(A), (B) and (C) only
- 2(A) and (B) only✓
- 3(A), (C) and (D) only
- 4(A), (B), (C) and (D)
Correct answer
(A) and (B) only
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