T = {y € R : A(y) Invert matrix} Find the set.

Q: 4 -5 -9] 0 -3 1 -2 -3 The matrix A has an eigenvalue A = -3. 1

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Q: Find a base for the line space of the matrix and determine the line rank.

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Q: Find the inverge of the 2x2 matrix Cos t Sin t - Sine Cose

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Q: R2 → R3 first performs a horizontal shear that transforms  and then reflects points through line x2…

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Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

Q: 12101 4-1010 13131 01912 12101

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Q: 9. A = -2 2

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Q: 1 2 A = 0 1

A: Given that A=1201 First to find the Jordan canonical form of this matrix: The given matrix is a…

Q: Find ∣A−1∣ for the matrix

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Q: Determine the value of x so that the matrix is singular (does not have an inverse) Which is the…

A: Note that, the matrix is said to be singular if the determinant of the matrix is 0.

Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

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Q: Compute u X v.

A: Here given vector as u=3-12, v=011 These vectors can be written as u=3i-j+2kv=j+k

Q: Show that the determinant of the matrix is equal to the determinant of its transpose by expanding…

A: Here, we have to find |A| and |A^t| by expanding third row and third column respectively.

Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: X = 8 8 3 3 ; A = 2 42 0 1 -2 -3 7 3 3 2 9

A: Every matrix of order m×n is represented a linear transformation from Rn→Rm definition of T(x)=Ax

Q: 3. Let f R→ R³ and g: R³ → R be defined by f(t)= (t2, sin(t), et) and g(x, y, z) = xy + z. Using…

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Q: please continue matrices and find for x, y, and z cramers rule

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Q: find if the vector x is in the range for matrix A

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Q: Find the relation determined by the diagraph and give its matrix

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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: Define the term determinant.

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Q: Find the LU composition of 1 | - matrix A =

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Q: Let A = (2 1, 2 3) . Find a 2 x2 matrix X so that X^2 = A

A: Matrix A =[2 1, 2 3]  We have to find 2*2 matrix X such that X2=A

Q: the acdjainbaf square of As of 2.

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