If A and B are matrices 3 x 3 order with 12A| = -1 and |2B³| = 16, then calculate |A-1B"|.

Q: Find a 2x2 matrix X that satisfies the matrix equation 45 X + 4 6 3 4 X. 1 2 23 x-[] -3 3 X= -1 3 A…

A: Given- 4545x+1023=3412x To Find- 2×2 matrix x such that it satisfies the above condition.

Q: Let A be an nxn matrix and B= A+ I, where / is the identity matrix, then it is possible for A and B…

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Q: If the order of the matrix A is (3 x 5) and Bis (5 x 6) then the order of the matrix (A - B) will be

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Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

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Q: Find inverse matrix using Gauss - Jordan Method if available 1 -2 4 A = 2 8 -1 -3 -4)

A: To find the inverse matrix, augment it with the identity matrix and perform row operations trying to…

Q: If A and B are invertible 5x5 matrices, then A+B is also invertible. True False

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Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

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Q: Construct 3 × 2 matrices A and B such that Ax = 0 has only the trivial solution and Bx = 0 has a…

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: Calculate the rank of each matrix by converting it into canonical form…

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Q: A and B are 3,3 matrices. Lo lAl =-3 and IBl =2. SO phat is l-2A02|?

A: Properties of determinant:kA=knAAB=ABA-1=1A

Q: For any two 3 x 3 matrices A and B, we have (А + B)(А — В) — А? — АВ + ВА - В?

A: Given statement: For any two 3×3 matrices A and B, we have

Q: 2 -3 -2 3 1 2 -2 -1 3 3 [ 3 2 -2

A: The given matrix is  A=  2-3-2   3  1   2-2   0-1   3   3   2   3   2   2-2

Q: 3. If A, B and C are matrices with orders, 3 X 3, 2 X 3 and 4 X 2, respectively, which of the…

A: Note: There are many subparts in the question. So I will answer the first three subparts.…

Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

Q: If A is a 31x24 matrix whose rank equals 10, find dim(Nul(AT)). Your Answer:

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Q: Construct 3×2 matrices A and B so that Ax​=0 has only the trivial​ solution, but Bx​=0 has…

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Q: 2 if A=| -3 -2 4 and B= 1 ,find the Matrix X such that 3A+4X=5B 1 3

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Q: Let A and B be 2x2 matrices with |4|--2, |B|= 4 . Give the value of the following. If there is not…

A: * Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Last week at an insurance company, Yibin sold an average of 10 automobile and 5 homeowner policies…

A: We have to find the matrix and number of automobile and homeowner policies sold.

Q: Find the rank of the matrix: 321 3 43 -1 2 2

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: Suppose A is a 3xn matrix whose columns span R3. Explain how to construct an nx3 matrix D such that…

A: Please check step 2 for the solution.

Q: Find a two-by-two matrix such that: -9 5 1 0 3 5 0 1

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Q: Find the matrix "x" that satisfy the equation 5 -1 0 - 4x = 4 4 -2 -5 5 -26 - 2 6 0 2

A: Subtraction of two matrices: abcd-efgh=a-eb-fc-gd-h Subtraction of two matrices is defined only if…

Q: Show that the matrix; is singular

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Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

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Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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Q: When two m x n matrices are said to be equal? Explain there Applicability?

A: Two mxn matrices are said to be equal if their corresponding elements are equal.

Q: Find the matrix corresponding to the quadratic form Q(x) = x + 2x1x2 + 2x1x3. Is Q positive…

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Q: Find 2 × 2 matrices A and B such that AB = O but BA ≠ O.

A: To Find: 2 x 2 matrices A and B such that AB = O but BA is not equal to O Here O is a zero matrix…

Q: find the matrix X if

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Q: Find two 3 x 3 matrices A and B such that A · B+ B · A Find a 3 x 3 matrix A that is not the zero…

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Q: Determine whether the matrix is symmetric.

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Q: Find 2A-l if we have the matrix 2 1

A: A=32102A=232102A=2×32×22×12×02A=6420

Q: and B are square matrices with dimension 2 x 2, C is a matrix with 5 columns. What should be the…

A: Matrix CD is square matrix because A is square matrix.  And CD is define if column in C is equal to…

Q: Calculate the rank of each matrix by converting it into canonical form…

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Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

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Q: Find the solution to: d/dt ŷ =  3x3 matrix of all 2s ŷ , ŷ(0) [2,5,5] 1x3 matrix with 2 at the top

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Q: What is the transpose of matrix M=(-1,0,2)(0,-3,1)?

A: A matrix which is formed by turning all the rows of a given matrix into columns and vice-versa.” We…

Q: Using only 0's and l's, find the number n of possible 3 x 3 matrices in row canonical form.

A: We have to make all possible row echelon form ( row canonical matrices ) of 3×3 matrix with 0 and 1…

Q: 3 (i);- 2

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Q: If a 6 x 6 matrix contains 19 zeros, show that there are 4 zeros which are all in distinct rows and…

A: A 6x6 matrix has 36 entries. Given if a 6x6 matrix contains 19 zeros, then to show that there are 4…

Q: Find the nullspace of the matrix

A: The nullspace of the matrix is to be determined, The matrix is shown below as,

Q: Find the matrix B such that 2AT+3B=0.

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Q: Create two 2 x 2 matrices A and B, to show that (A+ B)- A +B is not always true. Clearly write A, B,…

A: Give an example of 2 × 2 matrix, in which A + B-1 = A-1 + B-1 is wrong.

Q: Show that it is impossible to find two real 2 x 2 matrices A and B such that AB - BA = dI where d…

A: Take A and B are arbitrary matrices and find AB-BA and analyse the diagonal elements

Q: Find 4x4 nilpotent matrices of indices 2, 3,  and 4

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Q: If A and B are invertible 2 × 2 matrices with nonnegative entries, then A + B must also be…

A: Let's take one counter example of the given conditions. That is A and B are invertible 2*2 matrices…

Q: Find inverse matrix using Gauss - Jordan Method if available 1 -2 4 A = 8 [-1 -3

A: We have to find the inverse of the given matrix.