7. Which of the following matrices has a determinant of 1?Го 1А.1 0[1 1 1D.1 1 1[1 0[11]С.0 1В.| 14А — В + 3С 3D 12;8. Solve the system of equations:2A + 9C = -5; and A + 4B + 6C = -32.A. (2, 7, -1)В. (2, 7, 1)С. (2, -7, 1)D. (2, -7, -1)у — 42w – 39. Solve the system of equations: x - y + 3z = -8; 2x + z = 0;and x + 5y + z = 40.A. (-8, 0, 0)С. (), -8, -8)- 2В. (0, -8, 0)D. (8, 8, 0)and10. V-9A. V3 iВ. ЗіС.-3 іD. -V3 i 4.If G is a 3 x 1 matrix while H is a 1 x 3 matrix thenA. GH is 3 x 3, HG is 1 x 1.B. GH is 1 x 1, HG is 3 x 3.C. GH is 3 x 3, HG is undefined.D. GH is undefined, HG is 1 x 1.15.What is the inverse of I =| 2 1 1?|2 2 3111A. I' does not exist.C.21-111B.-2 -1 -1D. 4-1 4-2 - 2 - 312 013 -746.Compute for the determinant of J =0-1А. -81В. -45С. -18D. 18

Answered: Image /qna-images/answer/22cde195-1b26-420c-bea1-701d1077d8a6.jpg

Answered: 4. If G is a 3 x 1 matrix while H is a…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

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Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
If the determinant of a 4×4 matrix A is det(A)=−5, and the matrix B is obtained from A by swapping the second and fourth columns, thendet(?)=
2. If the determinant of a 5×5 matrix A is det(A)=6, and the matrix C is obtained from A by swapping the second and third rows, then what is det(C)? 3. If the determinant of a 4×4 matrix A is det(A)=8, and the matrix D is obtained from A by adding 2 times the fourth row to the first, then what is det(D)?
1.If A is 4x4 matrix with det(A)=10, find det ( 2? ^-1 ?^? ), det ( ?^2) 2. Use determinant to find the equation of the line that passes through the points (4, ― 3)& ( ―1,2)
1. If the determinant of a 5×5 matrix A is det(A)=9, and the matrix B is obtained from A by multiplying the first row by 8, then what is det(B)? 2. If the determinant of a 5×5 matrix A is det(A)=6, and the matrix C is obtained from A by swapping the second and third rows, then what is det(C)? 3. If the determinant of a 4×4 matrix A is det(A)=8, and the matrix D is obtained from A by adding 2 times the fourth row to the first, then what is det(D)? 4. If A and B are 2×2= matrices, det(A)=5, det(B)=4, theni. det(AB)= ii. det(−3A)= iii. det(A^T)= iv. det(B^−1)= v. det(B^2)=
40 - Which of the following is the definition of the determinant of the coefficients of the system of linear equations of order n. a) It is the determinant created by placing the constants on the right side of the system instead of the second column elements in the coefficients determinant. B) It is the determinant formed from the coefficients of the unknowns. NS) It is the determinant created by placing the constants on the right side of the system instead of the fifth column elements in the coefficients determinant. D) It is the determinant created by placing the constants on the right side of the system instead of the first column elements in the coefficients determinant. TO) It is the determinant created by placing the constants on the right side of the system instead of the last column elements in the coefficients determinant.
Write down the augmented matrix [A b] with an extra column:X + 2y + 2z = 14x+8y+9z = 33y + 2z = 1Apply E21 and then P32 to reach a triangular system. Solve by back substitution. What combined matrix P32 E21 will do both steps at once?
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The velocity of a car, accelerating at uniform acceleration a between two points, is given by v = u +at , where u is its velocity when passing the first point and t is the time taken to pass between the two points. If v = 21 m/s when t = 3.5s and v = 33 m/s when t = 6.1s , explain by the method of determinants how to obtain the values of u and a, each correct to 4 significant figures

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