Question

verify the property x x (y x) close is equal to bracket x x (close x z a point x is equal to 7 y is equal to 4 by 3 z is equal to 7 by 4 20 x is equal to 5 by 7 y equal to 23 z is equal to 3 by 5​

Answer 1

Answer:

[4x35]=[y1z5]

As the given matrices are equal, their corresponding elements are also equal.

Comparing the corresponding elements, we get: x=1,y=4, and z=3

(ii) [x+y5+z2xy]=[6528]

As the given matrices are equal, their corresponding elements are also equal. Comparing the corresponding elements, we get:

x+y=6,xy=8,5+z=5

Now, 5+z=5⇒z=0

We know that:

(x−y)2=(x+y)2−4xy

⇒(x−y)2=36−32=4

⇒x−y=±2

Now, when x−y=2 and x+y=6, we get x=4 and y=2

When x−y=−2 and x+y=6, we get x=2 and y=4

∴x=4,y=2 and z=0orx=2,y=4 and  z