) If A = (17) 5 6 , then prove that (A + A) is a symmtric matrix. If A = -1 -√3 -1 √3 then prove that A³ - 81 = 0. Evaluate A2, where A = = al + bA + CA² = 0. (35), and find a, b, c E R, not all zero, such 1 Let A = (13), Find the elements of B if B satisfies BA² = 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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LGEBRA)
1
) If A = (5), then prove that (A + A') is a symmtric matrix.
6 7
(-1 -√3
If A =
√3
then prove that A³ - 81 = 0.
1
Evaluate A2, where A =
2
-5
3
E
5), and find a, b, c € R, not all zero, such
1
= al + bA + CA² = 0.
Let A = (1 3),
Find the elements of B if B satisfies BA²
= A.
4
54
Transcribed Image Text:LGEBRA) 1 ) If A = (5), then prove that (A + A') is a symmtric matrix. 6 7 (-1 -√3 If A = √3 then prove that A³ - 81 = 0. 1 Evaluate A2, where A = 2 -5 3 E 5), and find a, b, c € R, not all zero, such 1 = al + bA + CA² = 0. Let A = (1 3), Find the elements of B if B satisfies BA² = A. 4 54
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