In April 2024
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u+v =3,4 and u ➖ v=1, ➖ 2 then find v and u
2X1+2X3-x3+x5=6,-X1-x2+2X3-3X4+X5=0,X3+X4+X5=0,X3+X5+X5=0 SOLVE IT BY USING GUASS JORDON METHOD
List of row vectors and column vectors of the matrix.
[2 -1 0 1
3 5 7 -1
1 4 2 7]
Find the solution set of x1+2x2-3x3+x4=0
3X1-X2+5X3-X4=0
2X1+X2+X4=0
Find the solution x1+2x2-3x3+x4=0
3x1-x2+5x-3x4=0
2x1+x2+x4=0
Find an expression for a square matrix A satisfying A squared
= In, where In is the n × n identity matrix. Give 3
examples for the case n = 3.
suppose that A,B,C and D are matrices with the following sizes: A(5 x 2) B(4 x 2) C(4 x 5) D(4 x 5)
determine in each of the following case whether a product is defined. if it is so then give the size of the resulting matrix.
i) BD
ii) AC - B
iii) DC + A
Find an expression for a square matrix A satisfying A2 = In, where In is the n × n identity matrix. Give 3 examples for the case n = 3.
Use Theorem 4.2.1 to determine which of the following are subspaces of P3. (a) All polynomials a0 + a1x + a2x2 + a3x3 for which a0 = 0. (b) All polynomials a0 + a1x + a2x2 + a3x3 for which a0 + a1 + a2 + a3 = 0. (c) All polynomials of the form a0 + a1x + a2x2 + a3x3 in which a0, a1, a2, and a3 are rational numbers. (d) All polynomials of the form a0 + a1x, where a0 and a1 are real numbers?
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Which of the following are subspaces of F (-infinity,+infinity)? (a) All functions f in F (-infinity,+infinity) for which f(0) = 0. (b) All functions f in F (-infinity,+infinity) for which f(0) = 1. (c) All functions f in F (-infinity,+infinity) for which f(−x) = f(x). (d) All polynomials of degree 2.
Assume T and S are matrices of the same size, Prove or disprove that (T+S)2 is symmetric , skew symmetric or neither
#340153 on Dec 2023