Show that if a 3×3 matrix A is never sad then the entries along its diagonal, i.e. a11, a22, a33, must be non-negative.

Q: Show that there is no matrix A E M250x250 with real entries satisfying AAT = -I.

A: Given that A is real ( All entries are real)  square matrix of order 250×250. The trace of any real…

Q: If X is an unknown matrix And A and B are known : [A]×[x]=[B]_ 5x5 5×1 [x] = ?

A: Given matrix A is of order 5×5 and matrix B of order 5×1 and A5×5×x=B5×1 We have to find the matrix…

Q: Suppose that 4x7 matrix A has 4 lead terms. Then collA ) = IRt aind NIA) = R³

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Q: If A = (aij) is the matrix of the quadratic form 7x + 5x, + 2x – 6x1x2 + 12x1x3 – 10x2x3, then the…

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Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

Q: Give an example of a 3 x 3 lower triangular matrix A that is not diagonal. A =

A: We write the 3x3 lower triangular matrix which is not diagonal

Q: Suppose that A is a 10 x 4 matrix, and that B is an equivalent matrix in echelon form. If the number…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: |a b X y m nl

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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,…

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Q: Identify that the given matrix is Diagonalisable or not: -2 = | -2 6

A: A matrix is said to be diagonalizable if it is similar to a diagonal matrix. Also, if a matrix has…

Q: determine whether the given matrix is defective or nondefective.

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Q: If A is 5x4 matrix, and rank(A) = 1, then its nullity is 3.

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Q: If a 3 x 4 matrix has 3 pivot columns, then its columns span R. True False

A: A 3×4 matrix have 3 rows and 4 columns, in each column has 3 elements. Given that matrix have 3…

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

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Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: Suppose matrix A is m×n and B is n×p. If the first row of matrix A is all zeros, what can you say…

A: Explanation:Since matrix A is m×n and matrix B is n×p, the matrix AB will be m×p.In order to get the…

Q: Show that any nX n matrix can be written as the sum of a symmetric matrix and a skew-symmetric…

A: To show that any n x n matrix can be written as the sum of a symmetric matrix and a skew-symmetric…

Q: Suppose that A is a 9 x 5 matrix, and that B is an equivalent matrix in echelon form. If the number…

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Q: Let If A is 2x2 matrix and /(4)=0, then %3D

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Q: I, explain why BTB must be symmetric for any n × m matrix B. (If yo

A: We will prove that the matrix Is symmetric as following.

Q: If a square matrix does not have a multiplicative inverse, it is called_______ .

A: We have to fill in the blanks: If a square matrix doesn't have a multiplicative inverse, it is…

Q: Give an example of a 3 x 3 upper triangular matrix A that is not diagonal. A =

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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: Let A be an mtimes×n matrix and let B be an ntimes×p matrix. If the first row of A consists only of​…

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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: 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: If A is an invertible square matrix that is row equivalent to matrix B , then both A and B are row…

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Q: Suppose A is a 5x7 matrix and nullity (A)=3, Then the dimension of the row space of A is IS

A: Given, A is 5*7 matrix and nullity(A) = 3 We have to find dimension of row space of A

Q: Suppose that A is an 2x3 matrix and B is an 3x1 matrix. Then AB is 2x3 matrix True False 00

A: To find- Suppose that A is an 2×3 matrix and B is an 3×1 matrix. Then AB is 2×3 matrix True False

Q: If a square matrix has a row that is a multiple of another row, then it is singular. True or False

A: Answer is true

Q: Show that the matrix B′AB is symmetric or skew symmetric according as A is symmetric or skew…

A: Show that the matrix B′AB is symmetric or skew symmetric according as A is symmetric or skew…

Q: If D is an n × n diagonal matrix, how do the valuesof ||D||1, ||D||2, and ||D||∞ compare? Explain…

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Q: Find a family of the matrices that is similar to the matrix -2] 寸 -3 4-

A: Since, you have posted multiple questions but according to guidelines we will solve first question…

Q: Find a matrix that Diagonalize A and check your work by computing P-1AP. [2 0 -2 A=0 3

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Q: If the first two rows of a matrix A are equal and the matrix product AB is defined, then the first…

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Q: If A is a matrix in Rmxn with {()} -5 C(A) = span 2 %3D -2 what is m?

A: If A is a matrix in R^(m×n) then A is a linear transformation form n to m

Q: 3. Suppose A is an m x n matrix whose rows are all identical and B is an n x p matrix whose columns…

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Q: Show that if a square matrix A has two equal columns, then A is not invertible.

A: since not a particular question asked ,as per guidelines solution to only first question (i.e Q1) is…

Q: Suppose that A is a 18 × 14 matrix that has 10 pivot columns. Then: (1) dim(ColA) is (i) dim(RowA)…

A: NOTE: Refresh your page if you can't see any equations. . the dimension of the matrix is  which the…

Q: Let A be a 5 × 4 matrix. Can the equation Ax=b be consistent for all b in ℝ5 ? Explain, please. Can…

A: Given that, A is a 5×4 matrix. Consider the equation, Ax=b. Here x is a 4×1 matrix with n=4 unknowns…

Q: Find the 2 x 2 matrix A, if 2 (A" – 212x2)-

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Q: If A is a 3x2 matrix and B is a 2x3 matrix, then (BA) is 3x3 matrix. Select one: O True False

A: Given: A is a 3×2 matrix and B is a 2×3 matrix  To State: Whether the statement i.e. BA2 is 3×3…

Q: If A is a 6×1 matrix and the sum A+B can be computed, what is the size of B?

A: Matrix addition. If A and B are matrices of the same size, then they can be added. (This is similar…

Q: If A is a 3x5 matrix, what is the largest possible value for its Rank? O 3

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Q: In statistical theory, a common requirement is that a matrix be of full rank. That is, the rank…

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