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Linear Algebra
What is the relationship between the vector (2,1,2) and the line. L defined by the following parametric equations
x=1+2t
y=2+t
z=3-2t
x=1+2t
y=2+t
z=3-2t
Linear Algebra
Suppose A is a 3x3 matrix such that det(A) =16.Find the value of det[(4(A^-1)^T]
Linear Algebra
Suppose C is a 3 x 3 matrix such that det (C) = 4. Find det ( C + C)
Linear Algebra
Find all solutions of this system.
4x + 2y + 3z = 0
3x − y + 2z = 0
x + 2y − z = 0
Compare the value of the determinant of the coefficient matrix to zero using the nature
of the solution.
Linear Algebra
Expand the fuction f(x) = x^4-1 in a series of the formSum of Ak Pk(x)
Linear Algebra
suppose A and B are 3x3 matrices.Show that if B is obtained from A by adding 2 times the first row of A to the last row of A then det(A) = det(B)
Linear Algebra
Find all solutions of this system .
4x + 2y + 3z = 0
3x - y + 2z = 0
x + 2y - z =0
Compare the value of the determinant of the coefficient matrix to zero using the nature of the solution
4x + 2y + 3z = 0
3x - y + 2z = 0
x + 2y - z =0
Compare the value of the determinant of the coefficient matrix to zero using the nature of the solution
Linear Algebra
Suppose C is a 3 x 3 matrix such that det (C) = 4 . Find det (C +C)
Linear Algebra
Let X ∈ Mn×n
, with det X = 0 (i.e. X is not invertible).
Prove or disprove:
There exists an > 0 such that:
Y ∈ Mn×n, kX XY k < =⇒ det Y = 0
, with det X = 0 (i.e. X is not invertible).
Prove or disprove:
There exists an > 0 such that:
Y ∈ Mn×n, kX XY k < =⇒ det Y = 0
Linear Algebra
Suppose A is a 4 * 4 matrix such that det (A) = 16. Find the value of det[4(A^-1)^T ]
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#340153 on Dec 2023
#340153 on Dec 2023