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Anonymous users2024-02-05Analysis] Inverse matrix definition: If the nth-order matrix a and b satisfy ab=ba=e, then a is said to be reversible, and the inverse matrix of a is b.
Answer] a -a +3a = 0, a (e-a) + 3 (e-a) = 3e, a +3) (e-a) = 3ee-a satisfies the definition of reversible, and its inverse matrix is (a +3) 3 Commentary] Theorem: If a is an n-order matrix with ab=e, then there must be ba=e.
So when we have ab=e, we can directly use the inverse matrix definition. There is no need to determine ba=e.
For such abstract matrices, you can consider using definitions to solve them.
If it is a concrete matrix, it can be solved by elementary transformations.
Linear algebra includes determinants, matrices, systems of linear equations, vector spaces and linear transformations, eigenvalues and eigenvectors, diagonalization of matrices, quadratic forms, and application problems.
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Anonymous users2024-02-04Analysis] Definition of inverse reed matrix: if the nth order matrix a and b satisfy ab=ba=e, then a is said to be reversible, and the inverse matrix of a is b.
Answer] a -a +3a = 0, a (e-a) + 3 (e-a) = 3e, a +3) (e-a) = 3ee-a satisfies the definition of reversible, and its inverse matrix is (a +3) 3 Commentary] Theorem: If a is an n-order matrix with ab=e, then there must be ba=e.
So when we have ab=e, we can directly use the inverse matrix definition. There is no need to determine ba=e.
For such abstract matrices, you can consider using definitions to solve them.
If it is a concrete matrix, it can be solved by elementary transformations.
Linear algebra includes determinant shouting and swimming, matrices, systems of linear equations, vector spaces and linear transformations, special positive values and eigenvectors, diagonalization of matrices, quadratic forms and application problems.
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Anonymous users2024-02-03Known: function y=(m+1)x+2m-6(1) If the function image is (-1,2), find the analytic formula of this function.
2) If the function image is parallel to the straight line y=2x+5, find the analytic formula of the function. (3) Find the intersection point of the straight line satisfying the condition (2) at the same time y=-3x+1, and find the two straight lines and the y-axis.
Known: function y=(m+1)x+2m-6(1) If the function image is (-1,2), find the analytic formula of this function.
2) If the function image is parallel to the straight line y=2x+5, find the analytic formula of the function.
3) find the intersection point of the straight line satisfying the condition (2) at the same time y=-3x+1, and find the area of the triangle enclosed by the two straight lines and the y-axis;
1) Over(-1,2): 2 = (m+1)(-1) +2m-6 = m-7, m=9
y = 10x + 12
2) Parallel to the straight line y=2x+5, the slope of the two is equal, m+1 = 2, m = 1
y = 2x -4
3) Simultaneous y = 2x -4 and y = -3x + 1
2x -4 = -3x+1
x = 1,y = -2
Intersection point a(1,-2).
The intersection points with the y-axis are b(0,-4) and c(0,1), respectively
The bottom of ABC is |ab|=5
The abscissa 1 of height is a
Area = (1 2) * 5 * 1 = 5 2
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Anonymous users2024-02-02<>
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Anonymous users2024-02-01－＋
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Anonymous users2024-01-31The minimum value of the <> is <>
2) Real <>
The value range is <>
Question analysis: (1) First <> the function
is analytically <>
Then use the axis of symmetry to find the <> about
to determine the <>
the minimum value; (2) The parameter separation method is used to transform the problem into equations <> <>
There is a solution, and you only need to use the relevant methods of trigonometric functions to calculate the function <> <> in the interval
, and then you can determine the parameter <>
The value range of the value.
Analysis of test questions: (1) <>
<> 2 points <>
<> is <>
6 points. <>
8 points. <>
10 points. then <>
12 points.
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Anonymous users2024-01-30<> "Test Question Analysis: (1) Solution 1 is to <> the function
<> in its defined domain
The above is the <> of the increase function and the conversion of the inequality equivalence into the inequality
In the interval <>
Shangheng was established, and the <> of inequality was obtained by using the parameter separation method
Hold up on the <> and use the basic inequality to find the <>
to find the <>
The value range of the value. Solution 2 is to find the <> derivative
Convert problem equivalence into inequality <>
In the <>, the constant is established, and the value range of the <> is obtained by combining the knowledge of the zero distribution of the quadratic function. (2) <> first
Substituting the function <>
and seek insight out of <>
<> derivative
The <> construct a new function
The derivative is used to study the early <> of the object
monotonicity, combined with the zero-point existence theorem to find out the function <>
The interval between the extreme points of the combined condition <>
Determine <>
maximum. Question analysis: (1) Solution 1: The definition domain of the function <> is <>
<> function <>
Monotonically increasing on the <>, <>
That is<> both <> are true. <>
Both are true for <>. When <>
time, <>
If and only if <>
That is, when <>, take the equal sign.
That is<> the value range of "" is <>
Solution 2: Function <>
How would you rate this?
Put away the <><>
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Anonymous users2024-01-29<> "Test Question Analysis: Quadratic Functions <>
The analytic formula of the function is formulated, and the monotonic interval of the function is obtained according to the axis of symmetry in the direction of its opening, and the function <>
It is not monotonionic in the <>, which means that the symmetry axis of the quadratic function is within the <> of the interval, and the value range can be obtained from this.
2) ( by <>
Establish equations to solve real numbers <>
the value of ; According to the properties of the quadratic function, the logarithmic function, and the exponential function, the <> is <>
<> the range of values to compare their sizes.
Question Analysis: Solution: (1) Parabola <>
The opening is upward, and the axis of symmetry is <>
<> function <>
In the <> monotonically decreasing, in the <>
Monotonically increasing, 2 points.
<> function <>
Not monotonous in <>. <>
<> real number <>
The value range is <>
5 points. <>
Real numbers <>
The value of is <>
8 points. <>
9 points. <>
When <>, <>
12 points. <>
13 points. <>
How would you rate this? Put away the <>
1。Do it down. Bring in the endpoint value.
2。Discriminant equations for quadratic equations. >>>More
For the teacher to understand and memorize what he said in class, it is important to have an appropriate amount of [review] and [do questions] after class, and it is very important to write the logical order in the multi-thinking function, and then it is necessary to have appropriate exercises. Junior high school!? High school.
1) Knowing that the quadratic function f(x) satisfies f(2x+1)=4x-6x+5, find f(x) t = 2x +1 ==> x = (t -1) 2 f(2x+1)=4x-6x+5 ==> f(t) = 4* [t-1) 2] 2 - 6 * t-1) 2 +5 ==> f(t) = (t-1) 2 - 3(t-1) +5 ==> f(t) = t 2 - 2t +1 - 3t + 3 +5 ==> f(t) = t 2 - 5t + 9 f(x) = x 2 - 5x + 9 (2) known function f(x+1 x) = x+1 x, find f(x) f(x +1 x) = x 2 + 1 x 2 = (x + 1 x) 2 - 2 t = x +1 x f(t) = t 2 - 2 f(x) = x 2 - 2
Let f(x)=x -2x-a-1=0
In the equation f(x)=0, =(-2) -4*1*(-a-1)=4+4a+4=4a+8 >>>More