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8. Find the inverse of $A = egin{pmatrix} 1 & -1 & 2 \ -3 & 1 & 4 \ 1 & 2 & 3 end{pmatrix}$ 9. Solve the following systems by using (a) Gauss-Elimination method and (b) Cramer's Rule. (i) $x + y + z = 2$ $2x - y + z = 0$ $x + 2y - z = 4$ (iv) $x + 2y - 3z = -1$ $3x - y - 2z = 2$ $5x + 3y - 4z = 2$ (ii) $2y + 3z = -2$ $x + y + z = 5$ $5x + 5y + z = 3$ (v) $x + 2y - 3z = 6$ $2x - y + 4z = 2$ $4x + 3y - 2z = 14$ (iii) $x - y + z = 4$ $2x - y - 2z = 10$ $x + 2y - 3z = 2$ (vi) $2x + y - 2z = 10$ $3x + 2y + 2z = 1$ $5x + 4y + 3z = 4$

          8. Find the inverse of $A = egin{pmatrix} 1 & -1 & 2 \ -3 & 1 & 4 \ 1 & 2 & 3 end{pmatrix}$ 
9. Solve the following systems by using
(a) Gauss-Elimination method and (b) Cramer's Rule.
(i) $x + y + z = 2$
$2x - y + z = 0$
$x + 2y - z = 4$
(iv) $x + 2y - 3z = -1$
$3x - y - 2z = 2$
$5x + 3y - 4z = 2$
(ii) $2y + 3z = -2$
$x + y + z = 5$
$5x + 5y + z = 3$
(v) $x + 2y - 3z = 6$
$2x - y + 4z = 2$
$4x + 3y - 2z = 14$
(iii) $x - y + z = 4$
$2x - y - 2z = 10$
$x + 2y - 3z = 2$
(vi) $2x + y - 2z = 10$
$3x + 2y + 2z = 1$
$5x + 4y + 3z = 4$

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8. Find the inverse of A = eginpmatrix 1 -1 2 -3 1 4 1 2 3 endpmatrix
9. Solve the following systems by using
(a) Gauss-Elimination method and (b) Cramer's Rule.
(i) x + y + z = 2
2x - y + z = 0
x + 2y - z = 4
(iv) x + 2y - 3z = -1
3x - y - 2z = 2
5x + 3y - 4z = 2
(ii) 2y + 3z = -2
x + y + z = 5
5x + 5y + z = 3
(v) x + 2y - 3z = 6
2x - y + 4z = 2
4x + 3y - 2z = 14
(iii) x - y + z = 4
2x - y - 2z = 10
x + 2y - 3z = 2
(vi) 2x + y - 2z = 10
3x + 2y + 2z = 1
5x + 4y + 3z = 4

Added by John J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/13/2023

Step 1

Since A is a scalar (a single number), its inverse is simply the reciprocal of the number: A^(-1) = 1 / (-3) = -1/3 Now, let's solve the given systems of equations using (a) Gauss-Elimination method and (b) Cramer's Rule. (a) Gauss-Elimination method: (i) x + Show more…

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Find the inverse of A = 9. Solve the following systems by using (a) Gauss-Elimination method and (b) Cramer's Rule: x + y + z = 2 2x - y + z = 0 x + 2y - z = 4 (ii) 2y + 3z = -2 x + y + z = 5 5x + 5y + z = 3 (iii) x - y + z = 4 2x - y - 2z = 10 x + 2y - 3z = 2 (iv) x + 2y - 3z = -1 3x - y - 2z = 2 5x + 3y - 4z = 2 (v) x + 2y - 3z = 6 2x - y + 4z = 2 4x + 3y - 2z = 14 (vi) 2x + y - 2z = 10 3x + 2y + 2z = 1 5x + 4y + 3z = 4

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