MC6. Consider the following statements: (1) If a matrix A has 10 columns with nullity(A) 5...

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MC6. Consider the following statements: (1) If a matrix A has 10 columns with nullity(A) 5 and nullity(A) = 3, then A has 7 rows? (i) If A is a 6 x 5 matrix such that the row space of A has the dimension 3, then nullity of A is 3. (iii) If A is a 2x2 matrix with det(A) = 8 and tr(A) = 4, then eigenvalues of A are -2(1+i). (iv) There exists a 3 x 9 matrix A such that mullity(A) - 3. (v) If A is annxn matrix then eigenvectons corresponding to different eigenvalues are orthogonal. How many of the above statements are TRUE? (A) 1; (B) 2: I (C) 3; (D) 4; (E) 5 MC6. Consider the following statements: (1) If a matrix A has 10 columns with nullity(A) 5 and nullity(A) = 3, then A has 7 rows? (i) If A is a 6 x 5 matrix such that the row space of A has the dimension 3, then nullity of A is 3. (iii) If A is a 2x2 matrix with det(A) = 8 and tr(A) = 4, then eigenvalues of A are -2(1+i). (iv) There exists a 3 x 9 matrix A such that mullity(A) - 3. (v) If A is annxn matrix then eigenvectons corresponding to different eigenvalues are orthogonal. How many of the above statements are TRUE? (A) 1; (B) 2: I (C) 3; (D) 4; (E) 5

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1 Given that a matrix A where A has 10 column Given Nullity A 5 We have the formula rankAnullityA n ... View the full answer