Question

let y =3 is the given plane the transformation matrix which when applied on the given plane transforms the plane to y=0 plane is​

Answer 1

Step-by-step explanation:

What is the value of 147^23 (mod 153)?

1 Method :

14723≡R(mod153)14723≡R(mod153)

⟹(−6)23≡R(mod153)⟹(−6)23≡R(mod153)

⟹−623≡R(mod153)⟹−623≡R(mod153)

Now as you can see 623623 and 153153 has a common factor 99 .For simplity lets take R=9rR=9r

⟹−36∗621≡9r(mod153)⟹−36∗621≡9r(mod153)

⟹−4∗621≡r(mod17)(1)(1)⟹−4∗621≡r(mod17)

Now gcd(6,17)=1gcd(6,17)=1 So we can apply Euler's theorem.

6ϕ(17)≡1(mod17)6ϕ(17)≡1(mod17)

⟹616≡1(mod17)⟹616≡1(mod17)

⟹616∗65≡1∗65(mod17)⟹616∗65≡1∗65(mod17)