heya mate☺
1.If A is a square matrix of order 2 then find the value of |A|+|-A|.
2.If A be a square matrix of order2 whose determinant is -i,find the value of |A(adjA)|.
✌anyone please answer this question correctly don't unnecessary answer✔
Answers
Answered by
9
Answer:
1) 2 | A |
2) | A ( adj A ) | = - 1
Step-by-step explanation:
Solution-----> Plzzz refer the attachment
2) In 2nd question we use ,
A ( adj A ) = | A | I , and then putting | A | = - i
and using i² = - i
Additional information----->
1) If A⁻¹ is inverse of A then
A A⁻¹ = A⁻¹ A = I
Where I is identity matrix
2) If A and B are two non singular matrices of same order then AB is also a non singular matrix and
( AB )⁻¹ = B⁻¹ A⁻¹
Attachments:
Answered by
6
Q.2
If A be a square matrix of order2 whose determinant is -i,find the value of |A(adjA)|.
for any square matrix A of order 'n'
|Aadj(A)| = |A|^n
here |A| = det (A)
for this case n = 2 and |A| = -1
therefore,
|A.adj (A)| = (-1)² = 1
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