# (7) (a) Compute the determinant of A tI3, where A is given below. Here a1, a2, a3 are scalars.00aoA-10-10a2(b) What is the determinant of A tIn, where A is given below and ao,. ., a-1 are scalars?0000ao-10000-100A =00 0-1an-1

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10 views help_outlineImage Transcriptionclose(7) (a) Compute the determinant of A tI3, where A is given below. Here a1, a2, a3 are scalars. 0 0 ao A -1 0 -1 0 a2 (b) What is the determinant of A tIn, where A is given below and ao,. ., a-1 are scalars? 0 0 0 0 ao -1 0 0 0 0 -1 0 0 A = 0 0 0 -1 an-1 fullscreen
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The determinant can be... help_outlineImage Transcriptionclose0 0 -1 0 t 0 0 t A+,0 -1 0 t 0 0 -1 at 0 Using Rowoperations, divide first row by t and addto secondrow t 0 0 0 0 0 0 t t LA+,= -1 0 t а, 0 0 0 -1 a Use same operationup to last rowto obtain, t 0 0 0 0 0 t ,A+ 0 0 I 0 + t 0 0 0 0 a t t + Since this reduces to anuppertriangular matrix, the deteminantwould be the product of diagonal elements రో ఆ fullscreen

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