Its about identity matrix. Is 35 true? Also, if A^n=i2, what are the conditions

Question

Its about identity matrix. Is 35 true? Also, if A^n=i2, what are the conditions that a is i2? 33. I fmatrix d e f is invertible, then matr a b must be invertible as well. T34. If A2 is invertible, then matrix A itself must be inve ible. 35. Ir A - l2, then matrix A mu 35. If A17 12, then matrix A must be 12. 36. If A212, then matrix A must be either 12 or - 12. 37. If matrix A is invertible, then matrix 5 A must be inv ible as well. If A and B are two 4.x 3 matrices such that Au for all vectors v in R3, then equal. 38. matrices A and B mus

Explanation / Answer

False

Example:-

A = | Cos[t]    -Sin[t] |

| Sin[t]      Cos[t] |

Where t = 2 Pi/17 should work.

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