1. Find the rank of the matrix 03 00 O 2 01 04

Q: Given the matrix 2 1 5 C = 0 -3 9 0 0 1 Then |C|= -5 Select one: O True O False

A:

Q: Determine the minor of a12 in the matrix. 8 -1 8. A =0 2. 1 1 -7

A: Solution:

Q: (2 -3 4 det 3 -5 = 45 1 2.

A: we have to find the value of x

Q: 1. Evaluate the following matrix operation: [5 3 a. A = 1 -4-3-1 L2 b. |B| C. C = 31-33+231 5+20 0 1…

A:

Q: Find the transpose of the following matrix: 3. 5 2 4 10 7 1 ol 13 -8

A:

Q: -1 -[::] Determine the dimensions of Nul A and Col A for the matrices. A = 4 7.

A: Before finding the column space or null space, we will reduce the given matrix to its reduced…

Q: All leading 1's in a matrix in a row echelon form must occur in different columns. O True O False «…

A:

Q: Perform the indicated matrix calculation. 4 0 - 1 3 4 - 8 4 1/3

A:

Q: 1. Determine the matrices C 2A + B and D A- 3B if 2 8 -6 -3 3. -3 -2 -4 3 0. A = %3D -6 -1 -8 9. -2…

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Q: [O 2 1 4 0 2 -2 5 1 [i 1 -1

A:

Q: Refer to the following matrix    2     -8     4     -9 -15      6      7      3      5      0…

A: The matrix given is

Q: 91 5n -1 1-2 3 -4 H = 3 6. 4. 2 Find Ms + M41 in matrix H. 7513

A: the given matrix is: H=1-2793-455361-14532 we have to find M34+M41 in matrix H.

Q: 3.5 Find the ranks and nullities of the following matrices: [o 1 07 A =| 0 0 0 4 1 -1 2 3 4 A2 =| 3…

A:

Q: 1 A = )Find the rank of a matrix 7 17 1 - 2 | 3.

A:

Q: 4 1 11 A = |1 6 2 11 2.

A: A square matrix P of order n   is said to be invertible if there exist a matrix of same order  say Q…

Q: 3. Find that whether the following matrix is singular or nonsingular. 8- 07 0 -5. 0000

A: Singular Matrix: A square matrix which do not have an inverse is said to be a Singular matrix. A…

Q: 2. Calculate the following matrix products: 1 -1 -1 3. A.

A:

Q: 1 Let the matrix A= Find A2 5A + 312x2. - Select one: a.

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Q: Solve the matrix equation AX = B for X. on: ste A = 1 7 - 33 B = - 2 -2 3

A:

Q: -). Perform the following matrix multiplication: [5 2] 6 [1 2 12 -1 Lo 0 41 7 2. 7 1 4.

A:

Q: 9.1 (a) Write the following set of equations in matrix form: 40%3D 5х, + 2x, 10- x, = X3 4x, + 8x,…

A: We will find out the required values.

Q: |1 23 4 5 6 17 8 9

A:

Q: 10. Find the inverse of the following matrix: -3 2 -1 -4 2

A: We find the determinant of the matrix first

Q: b) Find the rank of the following matrices: [6 2 A=|0 7 12] 8 [4 2 3] B=8 4 6 L3 5 0] 4 Lo 3

A:

Q: 2 8 Let A = Write 3A. Is det(3A) equal to 3det(A)? 5 6 ЗА- (Type an integer or decimal for each…

A: Given that  The matrix is  To find the det(3A) and 3det(A)

Q: Perform the indicated matrix calculation. 1 [6 0 1] 2 - 7 - 6

A:

Q: Consider the matrices shown below: Compute CT-A 3 07 A = -1 2 E -B C = 13] 3 1 5

A: Given: A=30-1211, C=142315

Q: 8. What is the rank of the following matrix: 1 -2 0 -4 1 2 ? -6 1 3 O 1 O 2 O 4 3. 123

A: Solution

Q: -1 9 6 use the following matrix. 10 1 1 11 4 0 -2

A: We have to find determinant

Q: 1. Determine the matrices C = 2A +B and ) = A-3B if 8 -6 -3 1 -2 3 2 -3 -4 A = -6 %3D -1 6. 4 -7. 2…

A: C=2A+B=28-6-31-20-65-1-280+32-3-4302-86-14-7=16-6-31-20-65-1-280+32-3-4302-86-14-7∴C=19-10-9-2-10-10…

Q: '5 7 6. 4 1. Find the rank of the matrix 03 01 04 00 O 2 3. 328

A:

Q: Use the following matrix to compute 6A. 0 6 - 1 A = 4 1 B= 11 -5 2 -2 6A = O

A:

Q: Perform the indicated matrix calculation. 3 −7 −7 0 + −1 −1 −8 7

A:

Q: For matrix A = [8 -19 16], AAT is O [681] O [-48] O [-544] [617]

A: Solution:-

Q: Consider the following matrix: Let D= [5 1 -12] [4 -7 -3] [-3 -14 -2]  Step 1 of 3 : Determine…

A: Consider the provided matrix, D=51-124-7-3-3-14-2 Determine the order of D.

Q: 2. Consider the following matrices: 1 -2 A = В C = 4 2 -3

A:

Q: 5. Find the inverse of this matrix [13 -6 8 -7 1 -11 16 -5 9. 2 14 4 10 12 -3]

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Q: 13. Solve the following (given as the augmented matrix): -4 1 7 1 | -5 5 1 10 3 -2 2 1 3 0 -

A:

Q: -1 9 6 use the following matrix. 10 1 11 4 0 0 -2

A:

Q: Use the following matrix. A= [1 0 -2]       [3 2 1]       [4 0 3] What is the element a11?

A: Given matrix A= [1 0 -2]      [3 2 1]      [4 0 3]

Q: 6. Find the rank and the nullspace of the following matrix: 1 0 1 A = -4 5 2 -2 5 4

A: Find the rank and null space of a matrix

Q: Solve the following matrix equation for X. 9. -7 0 1 79-11 6 1-1 6 -1 11 12 2 3 8 0 0 2 -1 1 X3=

A: Given: 1-1123002-1 X =6-19111280-70179-1161 We write in the form  A3×3 X =B3×5

Q: 14 12 (suppose) A = – 20 17] Find the diagonal matrix D where D= P¯' AP

A: The given matrix, A=-1412-2017

Q: 1.) Determine the matrices C = A + B andD = A - B if %3D 8 9 -2 A 8 -7 -4 B -9 -4 2 -3 -4

A:

Q: [4 Given the following matrices: A = 12 B = 21

A:

Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

A:

Q: 7) Perform the following matrix operations: 3 2 3 2 2 3 A =2 2 1 oob B =0 2 -5 2 1 1 2 6 1 a) A+B b)…

A:

Q: Solve the following matrix equation for X [4 -1 7 9 10 -5 0 1 -9 4 -1 1 2 3 0 X = 6 2 -1 5 7 1

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.