3. 4. Consider the matrix A = 3 0 0 3 1 1 2 23 (1) Compute the determinant of A, i.e., det(A) and the state whether the matrix is singular or nonsingular. (2) Compute the adjoint of A, i.e., adj (A). If A is nonsingular, compute A-¹. Write out Rank(A).

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Chapter3: Determinants
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3. 4. Consider the matrix
A: =
3 3
01 2
23
0
(1) Compute the determinant of A, i.e., det(A) and the state whether the matrix is
singular or nonsingular.
(2) Compute the adjoint of A, i.e., adj (A). If A is nonsingular, compute A-¹. Write
out Rank(A).
Transcribed Image Text:3. 4. Consider the matrix A: = 3 3 01 2 23 0 (1) Compute the determinant of A, i.e., det(A) and the state whether the matrix is singular or nonsingular. (2) Compute the adjoint of A, i.e., adj (A). If A is nonsingular, compute A-¹. Write out Rank(A).
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