## 10th Maths Book Back Question and Answers – Chapter 3 Exercise 3.17:

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### Samacheer Kalvi 10th Maths Book Back Answers – Ex 3.17 Algebra

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#### Exercise 3.17 Algebra

1. If A = ⎡⎣⎢13894−3⎤⎦⎥=⎡⎣⎢531730⎤⎦⎥ then verify that
(i) A + B = B + A
(ii) A + (-A) = (-A) + A = 0
Solution:

2.

Solution:

3. Find X and Y if X + Y = [7305] and X – Y = [3004]
Solution:

4. If A = [084397], B = [713489] find the value of
(i) B – 5A
(ii) 3A – 9B
Solution:

5. Find the values of x, y, z if

Solution:
(i) (x−3x+y+73x−zx+y+z)=(1106)
x – 3 = 1 ⇒ x = 4
3x – z = 0
3(4) – z = 0
-z = -12 ⇒ z = 12
x + y + 7 = 1
x + y = -6
4 + y = -6
y = -10
x = 4, y = -10, z = 12

(ii) [xy−zz+3]+[y43]=[4816]
x + y = 4 ……………. (1)
y – z + 4 = 8 ………….. (2)
z + 3 + 3 = 16 ………….. (3)
From (3), we get z = 10
From (2), we get y – 10 + 4 = 8
From (2), we get y = 14
From (1) we get x + 14 = 4
x = -10
x = -10, y = 14, z = 10

6.

Solution:

7.Find the non-zero values of x satisfying the matrix equation

Solution:

8.

Solution:
x2 – 4x = 5
y2 – 2y = 8
y2 – 2y – 8 = 0
(y – 4)(y + 2) = 0
y = 4, -2
x2 – 4x – 5 = 0
(x – 5)(x + 1) = 0
x = 5, -1
x = -1, 5, y = 4, -2