®1% (full clarifica bion) Suppose A is nxn mabrix Cegure mabrix) prove bhat if bhe pivob. for the matrix is Unigque er noto Unique and give ab Least counber example. euse PA=LU and determinants properties

Q: c.) (CD) (CD) -1 = d.) cofactor of B =

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Q: In 2-space, the absolute value of the determinant is equal to the area of the

A: The absolute value of the determinant is equal to area of _______

Q: Using the details of the matrices in the image, (note that they are real, and that I2 = J2 = K2 = -1…

A: Given that  I=0σ-σ-10J=-iσ200-iσ2K=0-σ3-σ30 Also it states that  I2=J2=K2=-1 and  IJ=K  All these…

Q: 3. Compute the determinant of the matrix M using elementary row operations (all row operation must…

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Q: High order of tensor cannot be represented by matrix ylgn O ihi O

A: Given a statement

Q: b) The partitioned matrix defined is as R= I4 314 fartitioned it exists Find in the fom of matrix.…

A: Given partitioned matrix is  R=FI403I4

Q: Use only column interganges od row interchanges to produce a triangular determinant and find the…

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Q: A and B are n x n invertible matrices, then the equality (A +B) (A – B) = A? – B? always true.

A: No this false ,

Q: Q4. Without solving (proper computation), show that determinant of the following matrix is zero. -1…

A: The Given matrix is 1-13-8-522-26To show the determinant of above matrix is zero without…

Q: Wuhen the two coums a a matrin are interchanged , the dcterminant of the ficst matris is to the…

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Q: ind the determinant of the matrix A Copy 0 a 4 12 2 by row reducing. 3

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Q: det(cA) = c det(A) Insert a number to sho

A: Given that  A is an n×n matrix and c is a scalar. Check whether detcA=cdetA is true or false.

Q: 6 1 3 2 -2 0 1 4 3 6 1 2 -4 0 2 8 Without expansion determine Show clearly how the elementary…

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Q: [2 Q1\ Assume A = [3 5J | and B = 2 31 1- Find A'B – 12 2- Find 3A - 2B 3- Find determinant of |2A|.

A: Gievn: Two matrix is given   A = 2   1          3   5   B = 1    1        2    3

Q: b) Using Chio's Condensation Method only in all the steps 7 -7 -5 6. 6. 1 4 11 -8 M = -7 -2 %3D -1 3…

A: M=07-7-5661411-8-70-235-1341-639531Chio's Condensation Method:We have to remove 0 from the a11…

Q: a) A and B are 3x3 matrices with |2B| = 2 and [A| = -5. By using properties of %3D determinant or…

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Q: or false: The (i, j) cofactor of A is the determinant of the matrix Aij. True False

A: We want to find the given statement is true or false.

Q: An orthogonal matrix is orthogonally diagonalizable. True False

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Q: Value of determinant is computed by adding multiples of one row to O another dimension O another row…

A: We know that , The determinant is defined as a scalar value which is associated with the square…

Q: 4. Use the above arrow technique to compute the determinants of the following matrices. -2 7 6 a) A…

A: find the determinants of the given matrixs

Q: Find the determinant -21 3 24 -3 of the matrix. 0 3 9 -6 6

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Q: Statement: "Let A and B be n x n matrices, where the columns of A span IR" and B is not equal to the…

A: The given statement is false.

Q: b) Let A = Bar = and A¹C = B. Find a matrix X such that X = AC.

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Q: Create a matrix A with 3 x 3-dimension and then • Find the multiplication of any two column. • Find…

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Q: a' and b Expess the Vector paduct in from of de terminant: 2 = (2, a, as) 5= of where , (6, b, bs)…

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Q: The determinant of 01 h) The determinant of 18 18 2 is 8. 24 (V1, V2, V3, V4 are the rows of the…

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Q: * Suppose the mbrxP. 4x4 peraubibun mabrx with even numberof permutahion, Find bhe maxinum…

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Q: 2a₁b₁ Let A = ab₂ + a₂b₁ abz+azb a₁b₂+ a₂b₁ 2a₂b₂ azb₂ + a₂b3 a₁b3 + c3b₁ a2b3 + a3b₂. Expressing…

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