1 4 in the column space of -9 - 11 - 36 ? 3 2 12 O Yes O No 0 4 – 11 - 36 1 If "Yes," write as a linear combination of the columns of 9. | 3 2 12 1 4 36 %3D 3 2 12

Q: 7.3 0.2 -3.7 1. Diagonalize A = -11.5 1.0 5.5 17.7 1.8 -9.31

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Q: 5) USE THE LU FACTORIZATION 20 -3 0 20 - 4 A= b= 1 1 1 02 1 1 -3 4 (COLUMN OPERATIONS) 5 1 2 LAST…

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Q: 3 Let A = 0 4 -3 0. Compute AB in the and B = -2 -1 5 four different ways: 1. Standard way 2. row…

A: We have A=304-2-15 and B=12-3002 1 Standard…

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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Q: 3) 15 + b = 23 4) -15 +n =-9 5) m + 4 = -12 6) x-7 = 13 7) m-9 =-13 8) p-6=-5 9) v - 15 = -27 10) n+…

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Q: (a) Suppose all columns of B are the same. Then all columns of EB are the same, because each one is…

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Q: 2 -4 4 -7 -17 7 5 A = 0 3 12 1 2 -4 3 3 Find a14, a21, a31, and a43. a14 %3D a21 = %3D a31 %3D a43…

A: A m×n matrix has m rows and n columns. Any element in an m×n matrix is denoted as amn . A 2×2 is…

Q: 3. Let A be a 2 x 3 matrix, B a 3 × 4 matrix, and C a 4 x 5 matrix. The triple product ABC can be…

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Q: 3 1 4 3 Compute AB if A = and B = -3 -2 -1 1 -6 Show that First Row of AB is linear combination or…

A: Answer

Q: 1 3 -3 -1 -3 and if B = A-1, then the entry in the second row and the second column B2 is %3| 2 3 1…

A:

Q: 4. Let. AC M. Each of the following statements is equivalent to two of the other three except. (a)…

A: For the linear system of equation Ax=b, the matrix A is an n×n matrix, x is the n×1 vector and b is…

Q: Find a matrix K such that AKB = C given that 1 4 85 72 -54 -2 3 B C 0 4 -3 %3D 50 32 -24 -2 -35 -24…

A: We have to find matrix K such that  AKB=C.

Q: 14 -7 10 - 31 - 6 3 3 in the column space of 10 6 ? Is - 5 1 - 18 9. -3 -6

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Q: Let 6 -2 3 -5 A = and B = -2 1 2 -3 (a) Find AB, A-1, and B-1. AB = A-1 B-1 = (b) Show that (АВ)-1 3…

A: Formula: Let A=a1a2a3a4 and B=b1b2b3b4. Then, AB=a1b1+a2b3a1b2+a2b4a3b1+a4b3a3b2+a4b4 The given…

Q: - 23 - 16 -34 Let A = 504 320 670 . Find the second and third columns of A without computing the…

A: The matrix is A=-23-16-3450432067014285184. The inverse of a matrix A is obtained by making the…

Q: 1 4 Given A= then 3 2 -1 3 -10A-1 %3D 4 -2 a. -1 4 -10A-1 O b. 3 -2] -2 4 -10A-1 С. 3 -1 2 -4 -10A-1…

A: Inverse of matrix A = adjA ÷ detA

Q: 61 70 The matrix A= Is similar to the matrix B= 3 4 03 Select one: O True O False

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Q: 1 -2 -1 2 0 В ]' 21 3. Which of the following 5] [7 1 -3 Let A = 2and C -1 4 5 3 l2 0 6. 2 4 is the…

A:

Q: 7HAdd Matrices 49 2 0 . %3D %3D 2 1 07 %3D

A: Given: A=4921, B=2007

Q: -2 -3 -3 7 -9 2 -9 -1 5 -2, and B = 1 -2 -7 Let k = -2, A = 6. -8 -6 9 -8 1 5 1 5 7. Compute C = k(A…

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Q: The qestion in the picture is a linear algebra/differential equations question:

A: Given

Q: Check the definiteness of the following matrices. ( 2 3 -4) (а) А%3D 3 3 -1 -4 -1 -1 -() 1 (b) В 6.

A: According to the given information, it is required to check the definiteness of the given matrices.…

Q: Let 6 -2 3 -5 A = -2 and B = 2 -3 (a) Find AB, A-1, and B-1. 14 -24 AB = -4 7 1/2 A-1 %3D 1 3 -3 B-1…

A: We use the general rule for the inverse of a 2×2 matrix and multiplication of matrices to answer the…

Q: A group of students from 85 people, 35 people, basketball, football, 42 people, 26 people are…

A: From the below diagram, it can be seen that,  The given information is represented in the venn…

Q: [2 3 4] [1 3 07 If A =1 2 3 and B = | 1 2 1 find AB and BA. 1 1 2 0 0 2

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Q: Use A-1 to decode the cryptogram. 1 2 2 A = 7 9. -4 -1 14 -2 34 115 -55 21 301 -9 10 70 -8 13 75 -29…

A: Given,                                   A=122379-4-114-234115 -5521301-91070 -81375 -29-1121-81375…

Q: 16. For two matrices P and Q, which of the following statements must be true so that the product PQ…

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Q: 8: [1 The matrix A = 4 L3 O True O False -2 31 1 -1 - 2 is a positive definite matrix. 21

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Q: -2 -1 2 01 4 5 3 21 3. Which of the following 5] 1 -31 , B = B. and C = Let A = -1 6. 2 4 is the…

A:

Q: 2 [7 -37 B1 %3D %3D Given : -7 0. | and Find the following 1. (24) 2. (AB) 3. (4) 4. A2 5. A

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Q: 4. 143 124 the order of AB is a Consider the matrices B=0 -1 31 %3D 260 2752

A: Here, the given matrices are A=124260 & B=41430-1312752 So, the order of A is 2×3 and order of B…

Q: (b)The population C of chipmunks is 50 in month t = 1 and 200 by month t = 11. Fill in the first and…

A: According to question, the population C of chipmunks is 50 in month t=1 and 200 by month t=11. we…

Q: Determine whether b is in the column space of A. 1 2-37 A= 1 4-6, b = -2 -3-2 5 O Yes No

A: We will use reduced row echlon form to check b is in column space of A or not

Q: Use A-1 to decode the cryptogram. 1 2 2 A = 7 9 -3 -4 1 3 19 50 -37 -33 67 -5 -2 18 -4 1 23 -21 -25…

A: Given,  A=122379-3-41 Now, A=122379-3-41=17+36-2(3+27)+2(-12+21)=1…

Q: 7. 6. 4 5 Let A = and B = -5 3 3 6-1 1 -6 Find AB if it is defined. Otherwise, click on "Undefine АВ

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Q: 2/13/2021 D. 1.354 × 1024 kg 8. Which of the following equations are true? Select all that apply.…

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Q: 1) What is 2A + 5B if 1 2 -31 -2 6 Matrix A = -5 4 and Matrix B = 2 -2 2) What is 3A – 2B if 4 -31…

A: Since you have posted multiple question but I can answer first three question as per our company…

Q: 4 7 8 6 A =|8 6, B = 2 6 54 compute the following. АВ i i AB = i i i

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Q: -1 – 7 -3 4. (a) Let A = 2 15 6. Find the second column of A without com- puting the other columns.…

A: Let us consider the  matrix A then inverse of the matrix is calculated by apply row reduced echlon…

Q: 1. Find the inverse of A = 1 if it exists by transforming [A : I3] to a reduced row echelon form. -1…

A: we have to find out the inverse of given matrix

Q: A B 0 D where A, B, D are 2 x 2 matrices and 0 is the 2 × 2 zero matrix. Prove that det(M) det (A)…

A: Given : M=AB0D  where A, B , D are 2×2matrices and 0 is the 2×2 zero matrix. To prove : det(M) =…

Q: 1 -2 Let A = [¯; ] = [, : Jand - 2 01 B 4 5 3 21 3. Which of the following 5] -31 and C = 1 -1 2 4…

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Q: [9 3 0] b) Given that: A=|2 5 6,B=5 4 li 2 5) [2 -4 1] 2 6] 2 31 Show that matrix multiplication is…

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Q: Which of the following statements is false? O A. Elementary row operations do not change the column…

A: Row operations  do not change  the row space.  Column  operations do  not change  the column…

Q: 3 1 4 -2 01 3. et A = O 2 B= -3 2 2 2 -4 Compute (2 A)"+CB+A)- AB +(BA)T.

A: Given:  A=314-201122B=102-3112-41 To Find:  To copute 2AT+B+A-AB+BAT.

Q: 2 34. Let A = 0 8 5 1-2 1 3 the set of all linear combinations of the columns of A. -1 6 10 let b =…

A: 34. Let A=206-1851-21, let b=1033, and let W be the set of all linear combinations of the columns of…

Q: 2 A = 1 0 3 4 -3 8 What is the (1,2) entry of adj(A)? What is the (1,2) entry of A-1?

A: We are given a 3x3 matrix. We need to find the (1,2) entry of adj(A) and A-1 . We know that A-1 =…

Q: 20 6 10 Let A = -1 8 5 and let b = B- 1 -2 1 3 W be the set of all linear combinations of the…

A: