Suppose A is any 3*3 non singular matrix and (A-3I)(A-5I)=0. If xA+bA'=4I , then x+b=8 7 13 12
Pranav Gupta , 6 Years ago
Grade
Algebra> Suppose A is any 3*3 non singular matrix ...
2 AnswersDeepak Kumar Shringi
Last Activity: 6 Years ago
i think it should be A -1at the place of A’ in the question please let me know
Shrinithi sellam
Last Activity: 5 Years ago
solve : (A - 3I)(A - 5I) = 0
A.A - 5AI - 3IA + 15I² = 0
A² - 5A - 3A + 15I = 0 [ as I² = I]
A² - 8A + 15I = 0
A² - 8A = -15I
A^-1 (A²) - A^-1(8A) = -A^-1 .15I
A - 8I = -15A^-1
A + 15A^-1 = 8I
1/2 A + 15/2 A^-1 = 4I
compare this to aA +bA^-1 = 4I
we get,
a =1/2 , b=15/2
a =1/2 , b=15/2
so,
a+b=8
hence, option (3) is correct.
a+b=8
hence, option (3) is correct.
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on algebra
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available
Last Activity: 1 Year ago
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available
Last Activity: 1 Year ago
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
0 Answer Available
Last Activity: 2 Years ago