Let A be a 3 x 4 matrix with reduced row echelon form given by [10 5 1 3 --- U = 0 1 1 1 If a₁ find a3 and a4 a3 = || 0 0 00] a4 -2 and a2 1

Q: Please check if my steps and answer are correct. The prompt is to diagonalize the matrix  12 -21…

A: The answer is in below steps.

Q: [4 -2] Let A be the matrix 1 Compute A50 1

A:

Q: Compute each matrix sum or product if it is defined. If an expression is undefined, explain why. Let…

A:

Q: Find f(B)

A:

Q: ifA &B are square matrices of the same order then (AB)^(2)

A:

Q: -1 2 1 -2 and B = (-3 3 4 -2 2 2 -3 4 5. Find the quotient matrix A/B if A = 3 4 %3D -4 2 3 3/

A: The given matrices are: To find the quotient matrix A/B means, multiply matrix A with the inverse…

Q: ✓ 1.6 Each pair of matrices differ by one row operation. Use this operation to compare det(A) with…

A:

Q: ^T) + (B^T) and (AB)^T = (A^T)(B^T) if the orders of matrices are appropriate. * False

A:

Q: |a b X y m nl

A:

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 - 13 6 6 6 P=[¯1 ¯2]·…

A:

Q: Suppose column 1 + column 3 + column 5 = 0 in a 4 by 5 matrix with four pivots. Which column has no…

A: Null space: A set X of vectors is said to be the null space of the matrix A such that AX=0 and X is…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

A: Given matrix Want to express b as a linear combinations of columns on matrix A.

Q: Use the matrix P to determine if the matrices A and A' are similar. p-1 P = 700 050 7 A = 10 14 0 50…

A: STEP 1: To determine if matrices A and A′ are similar, we need to check if there exists an…

Q: X1 + 3x2 – 2x3 + 2xs = 0 2x, + 6x2 – 5x3 – 2xg+4x5 – 3x6 = -1 X3 + 5x4 + 3x, = 1 x + 3x2 + 4x4 + 2xs…

A: Given that the system of linear equations is…

Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

A:

Q: (v) 0 -1 0 1 0 0 ma ~ 0 ( 1 a -1 0 0 0 a 0 0 a 1 0 1 000

A: Given: A matrix .To find: The Row operations by which the matrix is reduced to

Q: Write the 4 x 4 elementary matrix which accomplishes the row operation R3 - 5 R2 ---> R3 when you…

A: let  I be the 4×4  identity matrix I=1000010000100001

Q: Suppose

A: See the attachment

Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

A:

Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…

Q: & Gier, Mamiten 3. - 2 -4 -6 12 15 3 -12 3 ID 2. ーC 4 6. 4 15 4x 5 5x3 No.of Column A No.of mws in B…

A:

Q: For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the…

A: A matrix is in RREF if it meets all of the following conditions: If there is a row where every…

Q: Show that if A is a square matrix that satisfies the equation 2 A²-A-I-O, then its inverse is A-¹ =…

A: A square matrix M is said to be invertible if det(M)≠0 . If M is invertible,  then MM-1=I=M-1M ,…

Q: 2 0 -1 1 -2 2 A = 2 -1 0 1 -1 6. ||

A:

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x2 + 2y2 + 2z2-2xy-2xz- 2yz,…

A: We have to find the quadratic form of the equation Q=2x2+2y2+2z2-2xy-2xz-2yz which is a polynomial…

Q: Rank of the matrix A = (a) 1 (b) 2 (c) 3 (d) 4 1234 6 7 8 765 2468 5 8 is,

A:

Q: Given A = 1 1 0 3 Compute 5A *Matrix

A:

Q: if A is a 3x3 matrix and det(3A^-1)=9, then det(A) is

A:

Q: Use the following simultaneous equations to answer questions 8 and 9: -X1 + 2X2 + 4Хз %3D -3 4X1 –…

A:

Q: Prove or disprove: If the columns of a square n ×n matrix M are linearly independent, so are the…

A: Linearly independent and dependent vectors

Q: Let A and B be two n x n matrices. Call A and B simultaneously diagonalizable, if there is a single…

A:

Q: 4 -3 2 Given the matrix A = 5 -2 0 \1/2 3 7 -5/2/ (a) Calculate az31 + a13 and az4 + a24 (b)…

A:

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 P=[11] 2 p-1 = 6 [2] 15…

A:

Q: 2. Given the following matrix A, -6 3 -7 -14 -10 6 -18 11 11 -24 -6 3 -6 Find matrices D and P such…

A:

Q: e first a 2 th

A:

Q: 10 3 2) Let the Matrix A= 3 4 -1 25-4 then Find A- by elementary row operations only.

A: Given that A=10334-125-4 find A-1by elementary row operations only

Q: If (3A) = (³ 3 3 -12 ' then the a2,1 entry of the matrix A is

A: Step 1: Step 2: Step 3: Step 4: