Home
Class 14
MATHS
[" Täde yemacit "],[" प्रश्न 1.मान लीजिए...

[" Täde yemacit "],[" प्रश्न 1.मान लीजिए कि "A=[[0,1],[0,0]]" हो,तो दिखाइए कि समी "n in N" के लिए,"],[(aI+bA)^(n)=a^(n)I+na^(n-1)bA," जहाँ "I," कोटि "2" का तत्समक झाव्यूह है। "]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A = [[0,1],[0,0]] , show that (aI + bA)^n = a^nI + na^(n-1) bA , where I is the identity matrix of order 2 and n in N

Let A=[(0,1),(0,0)] , show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA , where I is the identity matrix of order 2 and n in N .

Let A=[(0,1),(0,0)] , show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA , where I is the identity matrix of order 2 and n in N .

Let A=[(0,1),(0,0)] , show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA , where I is the identity matrix of order 2 and n in N .

Let A=[[0,10,0]] show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA where I is the identity matrix of order 2 and n in N

Let A A=[{:(0,1),(0,0):}] , show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA , where I is the identity matrix of order 2 and n in N .

If A=[{:(0,1),(0,0):}]andI=[{:(1,0),(0,1):}] then prove that (aI+bA)^(3)=a^(3)I+3a^(2)bA .

Let A=[[0, 1],[ 0, 0]] show that (a I+b A)^n=a^n I+n a^(n-1)b A , where I is the identity matrix of order 2 and n in N .

If A=[0100], prove that (aI+bA)^(n)=a^(n)I+na^(n-1)bA where I is a unit matrix of order 2 and n is a positive integer.