2 1 -1 3 1 2 1 2 0 b) Calculate the rank of the matrix P = 3 1 1 1 |-1 -5 -3 -7 3

Q: Enter a 3 x 3 symmetric matrix A that has entries a11 = 0, a2 = 2, a33 = 5, a21 = 3, a31 = 4, and…

A: a symmetric matrix is a square matrix that is equal to its transpose.

Q: 1 2 3 2 2 3 5 1 134 5 (b) Find the rank of the matrix A =

A: 1. We know rank of any matrix and rank of its reduced row echelon matrix are same. 2. Rank of a…

Q: [1 1 1] Suppose we have a matrix A= |1 0 1 2 1 2 What is rank of A?

A: GivenA=111101212R2→R2-R1R3→R3-2R1A~1110-100-10R3→R3-R2A~1110-10000We know that The rank of a matrix…

Q: 2. Let the rref of a matrix A be, (1 0 0 1 2 0 -2 -5 0 -3 0 0 1 6. Determine A if the first, second…

A:

Q: §3.7, Exercise 4. Let A, B,C be general n x n matrices. Simplify the expres- sion…

A: The given expression is A-1BA-1-1CB-1-1. Note that, if P, Q are invertible matrices, then we have…

Q: 1 1 Given that matrix P=|1 0 |0 -1 2 1 , find the matrix A such that -2 0 0 P'AP=| 0 -2 0 0 4

A:

Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

A:

Q: 1) Find a diagonal matrix A that satisfies A-2: [2 0 0 1/4

A:

Q: 6. (a) Find the matrix A so that AB=C, where C1 C2 C3 b, b, bz 2 B= b, b2 b3 & C= C1 C2 C3) а, а аз…

A: AB=C

Q: 3. Find a 3 x 3 matrix A such that [1 0 3] 1 1 0 0 1 0 2 1 11 A = 4 2 3 1 1

A:

Q: 1 0 0 0 1 5 -10 1 0 2 1 0 0 Diagonalize the matrix A : if possible. 3

A:

Q: 2 1 0 -1 3 1 Calculate the rank of the matrix P = 1 2 0 3 1 1 1 -1 - 5 -7 3 -

A:

Q: Find the matrix A given that 1 2 (I +2A)-1 4 5. O a. 4/13] 1 -2/13 13 O b. [-9/13 1/13 2/13 -6/13…

A:

Q: Find a non-zero vector V in the row space of the matrix -12 6 -12 -6 18 16 -8 -16 -8 24 V 0.75 1.5 1

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Q: Find the innverse of the matrix b: 5 0 6 9 1 2 3 4 9 3 5…

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Q: - 7 12 - 14 9A = 1,3,4 12 - 18 13

A: We are given matrix A and eigen vectors 1,3 and 4. Then step1. Find eigen vector corresponding to…

Q: DEMONSTRATE THAT A A-1= A-1A = I      FOR THE MATRIX BELOW     1 -1 2 2 -3 4 1 0 3

A: Given matrix A=1-122-34103 We have to  prove that AA-1=A-1A=I We know that A-1=AdjAA

Q: [2 3 4 3 4 5 6 20. Calculate the rank of the matrix P = 4 5 6. 7 9 10 11 12 'n

A:

Q: Find a non-zero vector V in the row space of the matrix -12 -6 0 -8 6 16 8 -12 3 V E 1/2 -1 1

A:

Q: Show that AB and BA are not equal for the given matrices. 1 1 1 1 5 2 2 2 A = B = 1 1 1 1 2 5 АВ ВА

A:

Q: 1 -2 0 4 3 18. Calculate the rank of the matrix P 1 1 -1 -5 -1 8 2 -12 3.

A: Rank of a matrix is the maximum number of linearly independent rows of a matrix. The rank of a…

Q: 2. Let the rref of a matrix A be, 0 -2 0 1-5 0 -3 00 0 1 102 0 6 Determine A if the first, second…

A: Here given, A be a 3X5 matrix whose first, second and fourth columns are, 1-13,0-11,1-20 Also, row…

Q: Find matrices P, D and P-1 that diagonalize matrix A, where A = P = D= P-1 20 0 -11 -2 -3 -30 -1

A:

Q: 3 1 2 Compute the adjoint matrix of A = 3 2 2 1 2 3 Select one: 1 4 а. -7 8 4 -5 3 1 -2 O b. -7 7 4…

A:

Q: 3 1 2 Compute the adjoint matrix of A - 322 3 Select one: -1 -2 a. -7 7 9. 4. -5 3 1. 71 O b. -7 7.…

A:

Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

A:

Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

Q: 1 3 1 -1 0 1 Consider the matrix A = -3 2 1 -2 1 4 1 6 1 3

A: Let us apply elementary row operations on the augmented Matrix [A|b] to reduce it in row reduced…

Q: Consider the matrix -1 1 -2 A = 3 2 2 1 1 -1 0 -2. 2 3 Compute det (A).

A: Given, A=0-100-2241301-1233-2 The value of the determinant is to be calculated.

Q: 2 0 0 3 -2 0 1 -1 Consider matrix A = -7 2 4 -2 0 0 5 Calculate det (A³) 1.

A:

Q: The matrix A below is orthogonal. A = 4 5 3 3 O True False 2/3 2/31/3 2/32/3 1/3

A: The given matrix is A=132323-23130-23-4553. The matrix A is said to be orthogonal if it satisfies…

Q: Consider the matrix A = 0 o 0 0 -2

A:

Q: [4 1 21 tA-3 4 2. B-1 -2 3, and C-5 0 2 Lo 3 2] [-1 0 5 [1 2 -3] [1 4 -3) 1 -1 1 [s 20 Find the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 1. Show that matrix A is singular [1 2 0 A= 3 -1 2 -2 3 -2

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 3 1 Compute the adjoint matrix of A = 3 2 2 1 2 3 Select one: 2 -2 a. -7 7 4 -5 3 2 1 4 b. 8 0 53 2…

A: The adjoint of a matrix A is transpose of the cofactor matrix of A. It is denoted by adjA

Q: Find the matrix A given that -1 2 (I2 + 2A)–1 4 5 O a. 1/13 2/13] -5/13 O b. [-1/13 5/13] 2 -1 4/13]…

A: The given equation is:…

Q: 4 Find a basis of the row space of the matrix 1 -2 -3 1 1 -3 -3 1 3 A = -3 4 3 -2 6 6 -2 -6

A:

Q: Find a matrix A such that 2A-3B+5C=0 -2 Where B= 2 0 3 1 4 [2 0 -2 andC = 7 1 6

A:

Q: 4- Determining Whether a 3 x 3 Matrix A is Orthogonal or not. - A = 2 -1 2 2

A: This is a problem of linear transformation.

Q: Determine the matrix C such that (CT – 21) 1 1 2 2 3

A:

Q: 4. The adjoint of the matrix A=1 2 0 3 1 is b. -1 10 0 -15 -2 4 -1 -1 -5 -2 d. Sone of these c. -1

A: A=20-1120311 first, we need to find the minor matrix M1, 1=det2011:  2 M1, 2=det1031:  1 M=1,…

Q: Find the matrix A given that (I, + 2.4) ! = 1 2 4 5 O a. -1/13 5/13 2 -1 O . 1 4/13 -2/13 13 1/13…

A: From the given problem:   I2+2A-1=-1245.....(1)   Let, A=abcd   Now multiplying by I2+2A in both…

Q: nd the inverse of the matrix 1 0 -2 1 4 -3 4 oices: 8. -3 1 8 3 1 а. 10 4 1 C. 10 4 1 -7/2 3/2 1/2…

A:

Q: 3 2 21 3. Transform the given matrix to RREF -2 1 1 -1 0]

A: Given :322-2011-10

Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2) 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second…

A:

Q: 1 4 [5 0 lo 4 -3] b) Given D = -2 3 1 -2 1 85 72 -54] A =| 50 32 -24. -35 -24 18 Find a matrix BT ,…

A:

Q: -11 -8 -9 -7 -4 6 7 10 Consider the block matrix A = What is A11? -2 -6 11 12 5 -1 1 4 A11

A:

Q: 1) Find a diagonal matrix A that satisfies A-2 20,

A: Here, we need to find a diagonal matrix A such that A-2=2004